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Finding the Fourth Proportional to 410,660.20, 616,451.10 and 317,578.60

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Solution

The fourth proportional to 410,660.20, 616,451.10 and 317,578.60 is: 476,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,660.20 : 616,451.10 = 317,578.60 : x
  2. Step 2: Convert to fraction form
    410,660.20/616,451.10 = 317,578.60/x
  3. Step 3: Cross multiply
    410,660.20x = 616,451.10 × 317,578.60
  4. Step 4: Simplify right side
    410,660.20x = 195,771,677,306.46
  5. Step 5: Solve for x
    x = 195,771,677,306.46/410,660.20
  6. Step 6: Final answer
    x = 476,724.25

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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.