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Finding the Fourth Proportional to 458,200.80, 687,301.20 and 308,512.80

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Solution

The fourth proportional to 458,200.80, 687,301.20 and 308,512.80 is: 462,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,200.80 : 687,301.20 = 308,512.80 : x
  2. Step 2: Convert to fraction form
    458,200.80/687,301.20 = 308,512.80/x
  3. Step 3: Cross multiply
    458,200.80x = 687,301.20 × 308,512.80
  4. Step 4: Simplify right side
    458,200.80x = 212,041,217,655.36
  5. Step 5: Solve for x
    x = 212,041,217,655.36/458,200.80
  6. Step 6: Final answer
    x = 462,769.20

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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.