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Finding the Fourth Proportional to 288,414.69, 398,009.93 and 159,352.75

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Solution

The fourth proportional to 288,414.69, 398,009.93 and 159,352.75 is: 219,905.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,414.69 : 398,009.93 = 159,352.75 : x
  2. Step 2: Convert to fraction form
    288,414.69/398,009.93 = 159,352.75/x
  3. Step 3: Cross multiply
    288,414.69x = 398,009.93 × 159,352.75
  4. Step 4: Simplify right side
    288,414.69x = 63,423,976,076.04
  5. Step 5: Solve for x
    x = 63,423,976,076.04/288,414.69
  6. Step 6: Final answer
    x = 219,905.50

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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.