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Finding the Fourth Proportional to 415,452.22, 573,323.34 and 224,465.02

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Solution

The fourth proportional to 415,452.22, 573,323.34 and 224,465.02 is: 309,761.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,452.22 : 573,323.34 = 224,465.02 : x
  2. Step 2: Convert to fraction form
    415,452.22/573,323.34 = 224,465.02/x
  3. Step 3: Cross multiply
    415,452.22x = 573,323.34 × 224,465.02
  4. Step 4: Simplify right side
    415,452.22x = 128,691,034,979.57
  5. Step 5: Solve for x
    x = 128,691,034,979.57/415,452.22
  6. Step 6: Final answer
    x = 309,761.34

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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.