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Finding the Fourth Proportional to 415,825.74, 573,838.68 and 234,537.12

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Solution

The fourth proportional to 415,825.74, 573,838.68 and 234,537.12 is: 323,660.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,825.74 : 573,838.68 = 234,537.12 : x
  2. Step 2: Convert to fraction form
    415,825.74/573,838.68 = 234,537.12/x
  3. Step 3: Cross multiply
    415,825.74x = 573,838.68 × 234,537.12
  4. Step 4: Simplify right side
    415,825.74x = 134,586,471,351.80
  5. Step 5: Solve for x
    x = 134,586,471,351.80/415,825.74
  6. Step 6: Final answer
    x = 323,660.75

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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.