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Finding the Fourth Proportional to 392,434.80, 588,652.20 and 366,190.80

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Solution

The fourth proportional to 392,434.80, 588,652.20 and 366,190.80 is: 549,286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,434.80 : 588,652.20 = 366,190.80 : x
  2. Step 2: Convert to fraction form
    392,434.80/588,652.20 = 366,190.80/x
  3. Step 3: Cross multiply
    392,434.80x = 588,652.20 × 366,190.80
  4. Step 4: Simplify right side
    392,434.80x = 215,559,020,039.76
  5. Step 5: Solve for x
    x = 215,559,020,039.76/392,434.80
  6. Step 6: Final answer
    x = 549,286.20

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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.