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Finding the Fourth Proportional to 288,275.38, 397,835.12 and 160,943.38

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Solution

The fourth proportional to 288,275.38, 397,835.12 and 160,943.38 is: 222,110.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,275.38 : 397,835.12 = 160,943.38 : x
  2. Step 2: Convert to fraction form
    288,275.38/397,835.12 = 160,943.38/x
  3. Step 3: Cross multiply
    288,275.38x = 397,835.12 × 160,943.38
  4. Step 4: Simplify right side
    288,275.38x = 64,028,928,303.28
  5. Step 5: Solve for x
    x = 64,028,928,303.28/288,275.38
  6. Step 6: Final answer
    x = 222,110.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.