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Finding the Fourth Proportional to 442,732.46, 663,489.56 and 189,710.06

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Solution

The fourth proportional to 442,732.46, 663,489.56 and 189,710.06 is: 284,304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,732.46 : 663,489.56 = 189,710.06 : x
  2. Step 2: Convert to fraction form
    442,732.46/663,489.56 = 189,710.06/x
  3. Step 3: Cross multiply
    442,732.46x = 663,489.56 × 189,710.06
  4. Step 4: Simplify right side
    442,732.46x = 125,870,644,236.97
  5. Step 5: Solve for x
    x = 125,870,644,236.97/442,732.46
  6. Step 6: Final answer
    x = 284,304.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.