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Finding the Fourth Proportional to 403,471.80, 605,207.70 and 137,532.60

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Solution

The fourth proportional to 403,471.80, 605,207.70 and 137,532.60 is: 206,298.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,471.80 : 605,207.70 = 137,532.60 : x
  2. Step 2: Convert to fraction form
    403,471.80/605,207.70 = 137,532.60/x
  3. Step 3: Cross multiply
    403,471.80x = 605,207.70 × 137,532.60
  4. Step 4: Simplify right side
    403,471.80x = 83,235,788,521.02
  5. Step 5: Solve for x
    x = 83,235,788,521.02/403,471.80
  6. Step 6: Final answer
    x = 206,298.90

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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.