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Finding the Fourth Proportional to 410,715.40, 616,181.10 and 130,232.20

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Solution

The fourth proportional to 410,715.40, 616,181.10 and 130,232.20 is: 195,382.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,715.40 : 616,181.10 = 130,232.20 : x
  2. Step 2: Convert to fraction form
    410,715.40/616,181.10 = 130,232.20/x
  3. Step 3: Cross multiply
    410,715.40x = 616,181.10 × 130,232.20
  4. Step 4: Simplify right side
    410,715.40x = 80,246,620,251.42
  5. Step 5: Solve for x
    x = 80,246,620,251.42/410,715.40
  6. Step 6: Final answer
    x = 195,382.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.