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Finding the Fourth Proportional to 486,006.20, 729,009.30 and 409,023.80

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Solution

The fourth proportional to 486,006.20, 729,009.30 and 409,023.80 is: 613,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,006.20 : 729,009.30 = 409,023.80 : x
  2. Step 2: Convert to fraction form
    486,006.20/729,009.30 = 409,023.80/x
  3. Step 3: Cross multiply
    486,006.20x = 729,009.30 × 409,023.80
  4. Step 4: Simplify right side
    486,006.20x = 298,182,154,121.34
  5. Step 5: Solve for x
    x = 298,182,154,121.34/486,006.20
  6. Step 6: Final answer
    x = 613,535.70

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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.