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Finding the Fourth Proportional to 288,419.20, 398,016.12 and 159,357.26

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Solution

The fourth proportional to 288,419.20, 398,016.12 and 159,357.26 is: 219,911.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,419.20 : 398,016.12 = 159,357.26 : x
  2. Step 2: Convert to fraction form
    288,419.20/398,016.12 = 159,357.26/x
  3. Step 3: Cross multiply
    288,419.20x = 398,016.12 × 159,357.26
  4. Step 4: Simplify right side
    288,419.20x = 63,426,758,319.03
  5. Step 5: Solve for x
    x = 63,426,758,319.03/288,419.20
  6. Step 6: Final answer
    x = 219,911.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.