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Finding the Fourth Proportional to 392,237.68, 588,281.28 and 152,351.32

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Solution

The fourth proportional to 392,237.68, 588,281.28 and 152,351.32 is: 228,497.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,237.68 : 588,281.28 = 152,351.32 : x
  2. Step 2: Convert to fraction form
    392,237.68/588,281.28 = 152,351.32/x
  3. Step 3: Cross multiply
    392,237.68x = 588,281.28 × 152,351.32
  4. Step 4: Simplify right side
    392,237.68x = 89,625,429,539.29
  5. Step 5: Solve for x
    x = 89,625,429,539.29/392,237.68
  6. Step 6: Final answer
    x = 228,497.76

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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.