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Finding the Fourth Proportional to 415,215.96, 572,998.02 and 224,229.33

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Solution

The fourth proportional to 415,215.96, 572,998.02 and 224,229.33 is: 309,436.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,215.96 : 572,998.02 = 224,229.33 : x
  2. Step 2: Convert to fraction form
    415,215.96/572,998.02 = 224,229.33/x
  3. Step 3: Cross multiply
    415,215.96x = 572,998.02 × 224,229.33
  4. Step 4: Simplify right side
    415,215.96x = 128,482,961,275.07
  5. Step 5: Solve for x
    x = 128,482,961,275.07/415,215.96
  6. Step 6: Final answer
    x = 309,436.47

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