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Finding the Fourth Proportional to 416,471.60, 624,246.60 and 229,617.20

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Solution

The fourth proportional to 416,471.60, 624,246.60 and 229,617.20 is: 344,171.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,471.60 : 624,246.60 = 229,617.20 : x
  2. Step 2: Convert to fraction form
    416,471.60/624,246.60 = 229,617.20/x
  3. Step 3: Cross multiply
    416,471.60x = 624,246.60 × 229,617.20
  4. Step 4: Simplify right side
    416,471.60x = 143,337,756,401.52
  5. Step 5: Solve for x
    x = 143,337,756,401.52/416,471.60
  6. Step 6: Final answer
    x = 344,171.74

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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.