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Finding the Fourth Proportional to 392,117.40, 588,176.10 and 234,264.60

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Solution

The fourth proportional to 392,117.40, 588,176.10 and 234,264.60 is: 351,396.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,117.40 : 588,176.10 = 234,264.60 : x
  2. Step 2: Convert to fraction form
    392,117.40/588,176.10 = 234,264.60/x
  3. Step 3: Cross multiply
    392,117.40x = 588,176.10 × 234,264.60
  4. Step 4: Simplify right side
    392,117.40x = 137,788,838,796.06
  5. Step 5: Solve for x
    x = 137,788,838,796.06/392,117.40
  6. Step 6: Final answer
    x = 351,396.90

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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.