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Finding the Fourth Proportional to 498,233.80, 746,475.90 and 409,004.20

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Solution

The fourth proportional to 498,233.80, 746,475.90 and 409,004.20 is: 612,788.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,233.80 : 746,475.90 = 409,004.20 : x
  2. Step 2: Convert to fraction form
    498,233.80/746,475.90 = 409,004.20/x
  3. Step 3: Cross multiply
    498,233.80x = 746,475.90 × 409,004.20
  4. Step 4: Simplify right side
    498,233.80x = 305,311,778,298.78
  5. Step 5: Solve for x
    x = 305,311,778,298.78/498,233.80
  6. Step 6: Final answer
    x = 612,788.17

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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.