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Finding the Fourth Proportional to 392,121.50, 588,182.25 and 96,633.50

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Solution

The fourth proportional to 392,121.50, 588,182.25 and 96,633.50 is: 144,950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,121.50 : 588,182.25 = 96,633.50 : x
  2. Step 2: Convert to fraction form
    392,121.50/588,182.25 = 96,633.50/x
  3. Step 3: Cross multiply
    392,121.50x = 588,182.25 × 96,633.50
  4. Step 4: Simplify right side
    392,121.50x = 56,838,109,455.38
  5. Step 5: Solve for x
    x = 56,838,109,455.38/392,121.50
  6. Step 6: Final answer
    x = 144,950.25

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Similar ratio
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1.5x scale

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.