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Finding the Fourth Proportional to 415,825.31, 573,836.12 and 234,538.74

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Solution

The fourth proportional to 415,825.31, 573,836.12 and 234,538.74 is: 323,661.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,825.31 : 573,836.12 = 234,538.74 : x
  2. Step 2: Convert to fraction form
    415,825.31/573,836.12 = 234,538.74/x
  3. Step 3: Cross multiply
    415,825.31x = 573,836.12 × 234,538.74
  4. Step 4: Simplify right side
    415,825.31x = 134,586,800,551.29
  5. Step 5: Solve for x
    x = 134,586,800,551.29/415,825.31
  6. Step 6: Final answer
    x = 323,661.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.