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Finding the Fourth Proportional to 442,685.82, 663,957.96 and 158,323.28

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Solution

The fourth proportional to 442,685.82, 663,957.96 and 158,323.28 is: 237,459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,685.82 : 663,957.96 = 158,323.28 : x
  2. Step 2: Convert to fraction form
    442,685.82/663,957.96 = 158,323.28/x
  3. Step 3: Cross multiply
    442,685.82x = 663,957.96 × 158,323.28
  4. Step 4: Simplify right side
    442,685.82x = 105,119,998,689.52
  5. Step 5: Solve for x
    x = 105,119,998,689.52/442,685.82
  6. Step 6: Final answer
    x = 237,459.60

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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.