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Finding the Fourth Proportional to 542,869.80, 814,304.70 and 408,150.60

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Solution

The fourth proportional to 542,869.80, 814,304.70 and 408,150.60 is: 612,225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,869.80 : 814,304.70 = 408,150.60 : x
  2. Step 2: Convert to fraction form
    542,869.80/814,304.70 = 408,150.60/x
  3. Step 3: Cross multiply
    542,869.80x = 814,304.70 × 408,150.60
  4. Step 4: Simplify right side
    542,869.80x = 332,358,951,887.82
  5. Step 5: Solve for x
    x = 332,358,951,887.82/542,869.80
  6. Step 6: Final answer
    x = 612,225.90

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Double scale
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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.