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Finding the Fourth Proportional to 683,102.69, 942,696.70 and 377,178.25

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Solution

The fourth proportional to 683,102.69, 942,696.70 and 377,178.25 is: 520,514.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,102.69 : 942,696.70 = 377,178.25 : x
  2. Step 2: Convert to fraction form
    683,102.69/942,696.70 = 377,178.25/x
  3. Step 3: Cross multiply
    683,102.69x = 942,696.70 × 377,178.25
  4. Step 4: Simplify right side
    683,102.69x = 355,564,684,987.40
  5. Step 5: Solve for x
    x = 355,564,684,987.40/683,102.69
  6. Step 6: Final answer
    x = 520,514.25

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Double scale
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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.