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Finding the Fourth Proportional to 392,493.30, 588,135.15 and 292,182.90

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Solution

The fourth proportional to 392,493.30, 588,135.15 and 292,182.90 is: 437,824.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,493.30 : 588,135.15 = 292,182.90 : x
  2. Step 2: Convert to fraction form
    392,493.30/588,135.15 = 292,182.90/x
  3. Step 3: Cross multiply
    392,493.30x = 588,135.15 × 292,182.90
  4. Step 4: Simplify right side
    392,493.30x = 171,843,033,718.94
  5. Step 5: Solve for x
    x = 171,843,033,718.94/392,493.30
  6. Step 6: Final answer
    x = 437,824.12

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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.