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Finding the Fourth Proportional to 462,321.92, 693,452.64 and 146,797.76

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Solution

The fourth proportional to 462,321.92, 693,452.64 and 146,797.76 is: 220,187.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,321.92 : 693,452.64 = 146,797.76 : x
  2. Step 2: Convert to fraction form
    462,321.92/693,452.64 = 146,797.76/x
  3. Step 3: Cross multiply
    462,321.92x = 693,452.64 × 146,797.76
  4. Step 4: Simplify right side
    462,321.92x = 101,797,294,218.09
  5. Step 5: Solve for x
    x = 101,797,294,218.09/462,321.92
  6. Step 6: Final answer
    x = 220,187.04

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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.