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Finding the Fourth Proportional to 543,013.20, 814,519.80 and 149,029.20

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Solution

The fourth proportional to 543,013.20, 814,519.80 and 149,029.20 is: 223,543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,013.20 : 814,519.80 = 149,029.20 : x
  2. Step 2: Convert to fraction form
    543,013.20/814,519.80 = 149,029.20/x
  3. Step 3: Cross multiply
    543,013.20x = 814,519.80 × 149,029.20
  4. Step 4: Simplify right side
    543,013.20x = 121,387,234,178.16
  5. Step 5: Solve for x
    x = 121,387,234,178.16/543,013.20
  6. Step 6: Final answer
    x = 223,543.80

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Similar ratio
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1.5x scale

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.