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Finding the Fourth Proportional to 288,542.31, 398,208.99 and 159,478.02

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Solution

The fourth proportional to 288,542.31, 398,208.99 and 159,478.02 is: 220,091.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,542.31 : 398,208.99 = 159,478.02 : x
  2. Step 2: Convert to fraction form
    288,542.31/398,208.99 = 159,478.02/x
  3. Step 3: Cross multiply
    288,542.31x = 398,208.99 × 159,478.02
  4. Step 4: Simplify right side
    288,542.31x = 63,505,581,271.40
  5. Step 5: Solve for x
    x = 63,505,581,271.40/288,542.31
  6. Step 6: Final answer
    x = 220,091.05

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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.