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Finding the Fourth Proportional to 288,021.60, 397,451.16 and 158,961.24

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Solution

The fourth proportional to 288,021.60, 397,451.16 and 158,961.24 is: 219,356.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,021.60 : 397,451.16 = 158,961.24 : x
  2. Step 2: Convert to fraction form
    288,021.60/397,451.16 = 158,961.24/x
  3. Step 3: Cross multiply
    288,021.60x = 397,451.16 × 158,961.24
  4. Step 4: Simplify right side
    288,021.60x = 63,179,329,233.04
  5. Step 5: Solve for x
    x = 63,179,329,233.04/288,021.60
  6. Step 6: Final answer
    x = 219,356.22

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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.