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Finding the Fourth Proportional to 542,964.20, 814,446.50 and 187,784.46

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Solution

The fourth proportional to 542,964.20, 814,446.50 and 187,784.46 is: 281,676.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,964.20 : 814,446.50 = 187,784.46 : x
  2. Step 2: Convert to fraction form
    542,964.20/814,446.50 = 187,784.46/x
  3. Step 3: Cross multiply
    542,964.20x = 814,446.50 × 187,784.46
  4. Step 4: Simplify right side
    542,964.20x = 152,940,395,262.47
  5. Step 5: Solve for x
    x = 152,940,395,262.47/542,964.20
  6. Step 6: Final answer
    x = 281,676.76

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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.