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Finding the Fourth Proportional to 462,291.20, 693,436.80 and 146,772.80

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Solution

The fourth proportional to 462,291.20, 693,436.80 and 146,772.80 is: 220,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,291.20 : 693,436.80 = 146,772.80 : x
  2. Step 2: Convert to fraction form
    462,291.20/693,436.80 = 146,772.80/x
  3. Step 3: Cross multiply
    462,291.20x = 693,436.80 × 146,772.80
  4. Step 4: Simplify right side
    462,291.20x = 101,777,660,759.04
  5. Step 5: Solve for x
    x = 101,777,660,759.04/462,291.20
  6. Step 6: Final answer
    x = 220,159.20

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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.