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Finding the Fourth Proportional to 462,079.20, 693,118.80 and 146,560.80

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Solution

The fourth proportional to 462,079.20, 693,118.80 and 146,560.80 is: 219,841.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,079.20 : 693,118.80 = 146,560.80 : x
  2. Step 2: Convert to fraction form
    462,079.20/693,118.80 = 146,560.80/x
  3. Step 3: Cross multiply
    462,079.20x = 693,118.80 × 146,560.80
  4. Step 4: Simplify right side
    462,079.20x = 101,584,045,823.04
  5. Step 5: Solve for x
    x = 101,584,045,823.04/462,079.20
  6. Step 6: Final answer
    x = 219,841.20

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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.