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Finding the Fourth Proportional to 415,216.26, 572,998.44 and 224,229.64

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Solution

The fourth proportional to 415,216.26, 572,998.44 and 224,229.64 is: 309,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,216.26 : 572,998.44 = 224,229.64 : x
  2. Step 2: Convert to fraction form
    415,216.26/572,998.44 = 224,229.64/x
  3. Step 3: Cross multiply
    415,216.26x = 572,998.44 × 224,229.64
  4. Step 4: Simplify right side
    415,216.26x = 128,483,233,921.76
  5. Step 5: Solve for x
    x = 128,483,233,921.76/415,216.26
  6. Step 6: Final answer
    x = 309,436.90

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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.