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Finding the Fourth Proportional to 364,414.20, 502,892.40 and 203,265.12

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Solution

The fourth proportional to 364,414.20, 502,892.40 and 203,265.12 is: 280,506.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,414.20 : 502,892.40 = 203,265.12 : x
  2. Step 2: Convert to fraction form
    364,414.20/502,892.40 = 203,265.12/x
  3. Step 3: Cross multiply
    364,414.20x = 502,892.40 × 203,265.12
  4. Step 4: Simplify right side
    364,414.20x = 102,220,484,033.09
  5. Step 5: Solve for x
    x = 102,220,484,033.09/364,414.20
  6. Step 6: Final answer
    x = 280,506.31

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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.