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Finding the Fourth Proportional to 288,132.28, 397,606.36 and 160,816.08

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Solution

The fourth proportional to 288,132.28, 397,606.36 and 160,816.08 is: 221,917.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,132.28 : 397,606.36 = 160,816.08 : x
  2. Step 2: Convert to fraction form
    288,132.28/397,606.36 = 160,816.08/x
  3. Step 3: Cross multiply
    288,132.28x = 397,606.36 × 160,816.08
  4. Step 4: Simplify right side
    288,132.28x = 63,941,496,198.27
  5. Step 5: Solve for x
    x = 63,941,496,198.27/288,132.28
  6. Step 6: Final answer
    x = 221,917.16

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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.