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Finding the Fourth Proportional to 458,199.20, 687,298.80 and 433,704.80

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Solution

The fourth proportional to 458,199.20, 687,298.80 and 433,704.80 is: 650,557.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,199.20 : 687,298.80 = 433,704.80 : x
  2. Step 2: Convert to fraction form
    458,199.20/687,298.80 = 433,704.80/x
  3. Step 3: Cross multiply
    458,199.20x = 687,298.80 × 433,704.80
  4. Step 4: Simplify right side
    458,199.20x = 298,084,788,594.24
  5. Step 5: Solve for x
    x = 298,084,788,594.24/458,199.20
  6. Step 6: Final answer
    x = 650,557.20

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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.