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Finding the Fourth Proportional to 415,814.31, 573,820.96 and 234,527.73

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Solution

The fourth proportional to 415,814.31, 573,820.96 and 234,527.73 is: 323,646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,814.31 : 573,820.96 = 234,527.73 : x
  2. Step 2: Convert to fraction form
    415,814.31/573,820.96 = 234,527.73/x
  3. Step 3: Cross multiply
    415,814.31x = 573,820.96 × 234,527.73
  4. Step 4: Simplify right side
    415,814.31x = 134,576,926,490.68
  5. Step 5: Solve for x
    x = 134,576,926,490.68/415,814.31
  6. Step 6: Final answer
    x = 323,646.69

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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.