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Finding the Fourth Proportional to 577,102.20, 864,098.10 and 418,471.80

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Solution

The fourth proportional to 577,102.20, 864,098.10 and 418,471.80 is: 626,579.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,102.20 : 864,098.10 = 418,471.80 : x
  2. Step 2: Convert to fraction form
    577,102.20/864,098.10 = 418,471.80/x
  3. Step 3: Cross multiply
    577,102.20x = 864,098.10 × 418,471.80
  4. Step 4: Simplify right side
    577,102.20x = 361,600,687,283.58
  5. Step 5: Solve for x
    x = 361,600,687,283.58/577,102.20
  6. Step 6: Final answer
    x = 626,579.98

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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.