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Finding the Fourth Proportional to 485,200.20, 727,800.30 and 408,217.80

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Solution

The fourth proportional to 485,200.20, 727,800.30 and 408,217.80 is: 612,326.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,200.20 : 727,800.30 = 408,217.80 : x
  2. Step 2: Convert to fraction form
    485,200.20/727,800.30 = 408,217.80/x
  3. Step 3: Cross multiply
    485,200.20x = 727,800.30 × 408,217.80
  4. Step 4: Simplify right side
    485,200.20x = 297,101,037,305.34
  5. Step 5: Solve for x
    x = 297,101,037,305.34/485,200.20
  6. Step 6: Final answer
    x = 612,326.70

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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.