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Finding the Fourth Proportional to 407,763.80, 611,645.70 and 391,434.20

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Solution

The fourth proportional to 407,763.80, 611,645.70 and 391,434.20 is: 587,151.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,763.80 : 611,645.70 = 391,434.20 : x
  2. Step 2: Convert to fraction form
    407,763.80/611,645.70 = 391,434.20/x
  3. Step 3: Cross multiply
    407,763.80x = 611,645.70 × 391,434.20
  4. Step 4: Simplify right side
    407,763.80x = 239,419,045,262.94
  5. Step 5: Solve for x
    x = 239,419,045,262.94/407,763.80
  6. Step 6: Final answer
    x = 587,151.30

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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.