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Finding the Fourth Proportional to 466,451.26, 699,695.10 and 146,821.20

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Solution

The fourth proportional to 466,451.26, 699,695.10 and 146,821.20 is: 220,237.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,451.26 : 699,695.10 = 146,821.20 : x
  2. Step 2: Convert to fraction form
    466,451.26/699,695.10 = 146,821.20/x
  3. Step 3: Cross multiply
    466,451.26x = 699,695.10 × 146,821.20
  4. Step 4: Simplify right side
    466,451.26x = 102,730,074,216.12
  5. Step 5: Solve for x
    x = 102,730,074,216.12/466,451.26
  6. Step 6: Final answer
    x = 220,237.53

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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.