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Finding the Fourth Proportional to 462,502.80, 693,472.60 and 181,683.60

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Solution

The fourth proportional to 462,502.80, 693,472.60 and 181,683.60 is: 272,414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,502.80 : 693,472.60 = 181,683.60 : x
  2. Step 2: Convert to fraction form
    462,502.80/693,472.60 = 181,683.60/x
  3. Step 3: Cross multiply
    462,502.80x = 693,472.60 × 181,683.60
  4. Step 4: Simplify right side
    462,502.80x = 125,992,598,469.36
  5. Step 5: Solve for x
    x = 125,992,598,469.36/462,502.80
  6. Step 6: Final answer
    x = 272,414.78

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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.