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Finding the Fourth Proportional to 415,419.92, 573,262.92 and 234,169.48

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Solution

The fourth proportional to 415,419.92, 573,262.92 and 234,169.48 is: 323,144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,419.92 : 573,262.92 = 234,169.48 : x
  2. Step 2: Convert to fraction form
    415,419.92/573,262.92 = 234,169.48/x
  3. Step 3: Cross multiply
    415,419.92x = 573,262.92 × 234,169.48
  4. Step 4: Simplify right side
    415,419.92x = 134,240,679,879.68
  5. Step 5: Solve for x
    x = 134,240,679,879.68/415,419.92
  6. Step 6: Final answer
    x = 323,144.54

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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.