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Finding the Fourth Proportional to 462,508.80, 693,615.56 and 146,891.88

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Solution

The fourth proportional to 462,508.80, 693,615.56 and 146,891.88 is: 220,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,508.80 : 693,615.56 = 146,891.88 : x
  2. Step 2: Convert to fraction form
    462,508.80/693,615.56 = 146,891.88/x
  3. Step 3: Cross multiply
    462,508.80x = 693,615.56 × 146,891.88
  4. Step 4: Simplify right side
    462,508.80x = 101,886,493,605.65
  5. Step 5: Solve for x
    x = 101,886,493,605.65/462,508.80
  6. Step 6: Final answer
    x = 220,290.93

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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.