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Finding the Fourth Proportional to 498,229.80, 746,469.90 and 409,000.20

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Solution

The fourth proportional to 498,229.80, 746,469.90 and 409,000.20 is: 612,782.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,229.80 : 746,469.90 = 409,000.20 : x
  2. Step 2: Convert to fraction form
    498,229.80/746,469.90 = 409,000.20/x
  3. Step 3: Cross multiply
    498,229.80x = 746,469.90 × 409,000.20
  4. Step 4: Simplify right side
    498,229.80x = 305,306,338,393.98
  5. Step 5: Solve for x
    x = 305,306,338,393.98/498,229.80
  6. Step 6: Final answer
    x = 612,782.17

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1.5x scale

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.