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Finding the Fourth Proportional to 409,686.80, 614,530.20 and 381,693.20

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Solution

The fourth proportional to 409,686.80, 614,530.20 and 381,693.20 is: 572,539.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,686.80 : 614,530.20 = 381,693.20 : x
  2. Step 2: Convert to fraction form
    409,686.80/614,530.20 = 381,693.20/x
  3. Step 3: Cross multiply
    409,686.80x = 614,530.20 × 381,693.20
  4. Step 4: Simplify right side
    409,686.80x = 234,561,998,534.64
  5. Step 5: Solve for x
    x = 234,561,998,534.64/409,686.80
  6. Step 6: Final answer
    x = 572,539.80

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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.