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Finding the Fourth Proportional to 415,216.43, 572,998.66 and 224,229.80

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Solution

The fourth proportional to 415,216.43, 572,998.66 and 224,229.80 is: 309,437.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,216.43 : 572,998.66 = 224,229.80 : x
  2. Step 2: Convert to fraction form
    415,216.43/572,998.66 = 224,229.80/x
  3. Step 3: Cross multiply
    415,216.43x = 572,998.66 × 224,229.80
  4. Step 4: Simplify right side
    415,216.43x = 128,483,374,496.11
  5. Step 5: Solve for x
    x = 128,483,374,496.11/415,216.43
  6. Step 6: Final answer
    x = 309,437.12

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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.