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Finding the Fourth Proportional to 684,179.49, 944,010.75 and 408,483.63

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Solution

The fourth proportional to 684,179.49, 944,010.75 and 408,483.63 is: 563,613.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,179.49 : 944,010.75 = 408,483.63 : x
  2. Step 2: Convert to fraction form
    684,179.49/944,010.75 = 408,483.63/x
  3. Step 3: Cross multiply
    684,179.49x = 944,010.75 × 408,483.63
  4. Step 4: Simplify right side
    684,179.49x = 385,612,937,919.02
  5. Step 5: Solve for x
    x = 385,612,937,919.02/684,179.49
  6. Step 6: Final answer
    x = 563,613.71

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Half scale
Find fourth proportional to 1,368,358.98, 1,888,021.50 and 816,967.26
Double scale
Find fourth proportional to 684,180.49, 944,012.13 and 408,484.63
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.