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Finding the Fourth Proportional to 392,159.82, 588,002.52 and 175,978.92

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Solution

The fourth proportional to 392,159.82, 588,002.52 and 175,978.92 is: 263,861.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,159.82 : 588,002.52 = 175,978.92 : x
  2. Step 2: Convert to fraction form
    392,159.82/588,002.52 = 175,978.92/x
  3. Step 3: Cross multiply
    392,159.82x = 588,002.52 × 175,978.92
  4. Step 4: Simplify right side
    392,159.82x = 103,476,048,426.88
  5. Step 5: Solve for x
    x = 103,476,048,426.88/392,159.82
  6. Step 6: Final answer
    x = 263,861.93

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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.