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Finding the Fourth Proportional to 486,019.20, 729,028.80 and 273,442.80

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Solution

The fourth proportional to 486,019.20, 729,028.80 and 273,442.80 is: 410,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,019.20 : 729,028.80 = 273,442.80 : x
  2. Step 2: Convert to fraction form
    486,019.20/729,028.80 = 273,442.80/x
  3. Step 3: Cross multiply
    486,019.20x = 729,028.80 × 273,442.80
  4. Step 4: Simplify right side
    486,019.20x = 199,347,676,352.64
  5. Step 5: Solve for x
    x = 199,347,676,352.64/486,019.20
  6. Step 6: Final answer
    x = 410,164.20

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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.