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Finding the Fourth Proportional to 288,763.30, 398,481.90 and 159,693.38

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Solution

The fourth proportional to 288,763.30, 398,481.90 and 159,693.38 is: 220,370.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,763.30 : 398,481.90 = 159,693.38 : x
  2. Step 2: Convert to fraction form
    288,763.30/398,481.90 = 159,693.38/x
  3. Step 3: Cross multiply
    288,763.30x = 398,481.90 × 159,693.38
  4. Step 4: Simplify right side
    288,763.30x = 63,634,921,479.82
  5. Step 5: Solve for x
    x = 63,634,921,479.82/288,763.30
  6. Step 6: Final answer
    x = 220,370.53

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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.