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Finding the Fourth Proportional to 334,456.63, 461,550.15 and 200,320.63

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Solution

The fourth proportional to 334,456.63, 461,550.15 and 200,320.63 is: 276,442.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,456.63 : 461,550.15 = 200,320.63 : x
  2. Step 2: Convert to fraction form
    334,456.63/461,550.15 = 200,320.63/x
  3. Step 3: Cross multiply
    334,456.63x = 461,550.15 × 200,320.63
  4. Step 4: Simplify right side
    334,456.63x = 92,458,016,824.59
  5. Step 5: Solve for x
    x = 92,458,016,824.59/334,456.63
  6. Step 6: Final answer
    x = 276,442.47

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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.