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Finding the Fourth Proportional to 458,132.80, 687,199.20 and 205,412.80

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Solution

The fourth proportional to 458,132.80, 687,199.20 and 205,412.80 is: 308,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,132.80 : 687,199.20 = 205,412.80 : x
  2. Step 2: Convert to fraction form
    458,132.80/687,199.20 = 205,412.80/x
  3. Step 3: Cross multiply
    458,132.80x = 687,199.20 × 205,412.80
  4. Step 4: Simplify right side
    458,132.80x = 141,159,511,829.76
  5. Step 5: Solve for x
    x = 141,159,511,829.76/458,132.80
  6. Step 6: Final answer
    x = 308,119.20

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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.