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Finding the Fourth Proportional to 410,716.40, 616,182.60 and 130,233.20

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Solution

The fourth proportional to 410,716.40, 616,182.60 and 130,233.20 is: 195,384.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,716.40 : 616,182.60 = 130,233.20 : x
  2. Step 2: Convert to fraction form
    410,716.40/616,182.60 = 130,233.20/x
  3. Step 3: Cross multiply
    410,716.40x = 616,182.60 × 130,233.20
  4. Step 4: Simplify right side
    410,716.40x = 80,247,431,782.32
  5. Step 5: Solve for x
    x = 80,247,431,782.32/410,716.40
  6. Step 6: Final answer
    x = 195,384.05

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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.