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Finding the Fourth Proportional to 542,866.80, 814,300.20 and 408,147.60

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Solution

The fourth proportional to 542,866.80, 814,300.20 and 408,147.60 is: 612,221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,866.80 : 814,300.20 = 408,147.60 : x
  2. Step 2: Convert to fraction form
    542,866.80/814,300.20 = 408,147.60/x
  3. Step 3: Cross multiply
    542,866.80x = 814,300.20 × 408,147.60
  4. Step 4: Simplify right side
    542,866.80x = 332,354,672,309.52
  5. Step 5: Solve for x
    x = 332,354,672,309.52/542,866.80
  6. Step 6: Final answer
    x = 612,221.40

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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.