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Finding the Fourth Proportional to 288,066.49, 397,531.79 and 159,005

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Solution

The fourth proportional to 288,066.49, 397,531.79 and 159,005 is: 219,426.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,066.49 : 397,531.79 = 159,005 : x
  2. Step 2: Convert to fraction form
    288,066.49/397,531.79 = 159,005/x
  3. Step 3: Cross multiply
    288,066.49x = 397,531.79 × 159,005
  4. Step 4: Simplify right side
    288,066.49x = 63,209,542,268.95
  5. Step 5: Solve for x
    x = 63,209,542,268.95/288,066.49
  6. Step 6: Final answer
    x = 219,426.92

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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.