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Finding the Fourth Proportional to 462,417.60, 693,453.60 and 181,876.80

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Solution

The fourth proportional to 462,417.60, 693,453.60 and 181,876.80 is: 272,747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,417.60 : 693,453.60 = 181,876.80 : x
  2. Step 2: Convert to fraction form
    462,417.60/693,453.60 = 181,876.80/x
  3. Step 3: Cross multiply
    462,417.60x = 693,453.60 × 181,876.80
  4. Step 4: Simplify right side
    462,417.60x = 126,123,121,716.48
  5. Step 5: Solve for x
    x = 126,123,121,716.48/462,417.60
  6. Step 6: Final answer
    x = 272,747.23

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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.