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Finding the Fourth Proportional to 324,019.28, 486,046.20 and 102,386

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Solution

The fourth proportional to 324,019.28, 486,046.20 and 102,386 is: 153,584.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,019.28 : 486,046.20 = 102,386 : x
  2. Step 2: Convert to fraction form
    324,019.28/486,046.20 = 102,386/x
  3. Step 3: Cross multiply
    324,019.28x = 486,046.20 × 102,386
  4. Step 4: Simplify right side
    324,019.28x = 49,764,326,233.20
  5. Step 5: Solve for x
    x = 49,764,326,233.20/324,019.28
  6. Step 6: Final answer
    x = 153,584.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.