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Finding the Fourth Proportional to 462,753.20, 694,302.60 and 182,465.84

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Solution

The fourth proportional to 462,753.20, 694,302.60 and 182,465.84 is: 273,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,753.20 : 694,302.60 = 182,465.84 : x
  2. Step 2: Convert to fraction form
    462,753.20/694,302.60 = 182,465.84/x
  3. Step 3: Cross multiply
    462,753.20x = 694,302.60 × 182,465.84
  4. Step 4: Simplify right side
    462,753.20x = 126,686,507,123.18
  5. Step 5: Solve for x
    x = 126,686,507,123.18/462,753.20
  6. Step 6: Final answer
    x = 273,766.90

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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.