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Finding the Fourth Proportional to 288,920.28, 398,730.84 and 161,636.88

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Solution

The fourth proportional to 288,920.28, 398,730.84 and 161,636.88 is: 223,070.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,920.28 : 398,730.84 = 161,636.88 : x
  2. Step 2: Convert to fraction form
    288,920.28/398,730.84 = 161,636.88/x
  3. Step 3: Cross multiply
    288,920.28x = 398,730.84 × 161,636.88
  4. Step 4: Simplify right side
    288,920.28x = 64,449,608,937.38
  5. Step 5: Solve for x
    x = 64,449,608,937.38/288,920.28
  6. Step 6: Final answer
    x = 223,070.56

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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.