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Finding the Fourth Proportional to 424,065.60, 636,098.76 and 199,261.14

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Solution

The fourth proportional to 424,065.60, 636,098.76 and 199,261.14 is: 298,891.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,065.60 : 636,098.76 = 199,261.14 : x
  2. Step 2: Convert to fraction form
    424,065.60/636,098.76 = 199,261.14/x
  3. Step 3: Cross multiply
    424,065.60x = 636,098.76 × 199,261.14
  4. Step 4: Simplify right side
    424,065.60x = 126,749,764,070.19
  5. Step 5: Solve for x
    x = 126,749,764,070.19/424,065.60
  6. Step 6: Final answer
    x = 298,891.88

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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.