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Finding the Fourth Proportional to 486,023.20, 729,034.80 and 409,040.80

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Solution

The fourth proportional to 486,023.20, 729,034.80 and 409,040.80 is: 613,561.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,023.20 : 729,034.80 = 409,040.80 : x
  2. Step 2: Convert to fraction form
    486,023.20/729,034.80 = 409,040.80/x
  3. Step 3: Cross multiply
    486,023.20x = 729,034.80 × 409,040.80
  4. Step 4: Simplify right side
    486,023.20x = 298,204,977,819.84
  5. Step 5: Solve for x
    x = 298,204,977,819.84/486,023.20
  6. Step 6: Final answer
    x = 613,561.20

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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.