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Finding the Fourth Proportional to 288,851.42, 398,584.29 and 159,769.46

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Solution

The fourth proportional to 288,851.42, 398,584.29 and 159,769.46 is: 220,464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,851.42 : 398,584.29 = 159,769.46 : x
  2. Step 2: Convert to fraction form
    288,851.42/398,584.29 = 159,769.46/x
  3. Step 3: Cross multiply
    288,851.42x = 398,584.29 × 159,769.46
  4. Step 4: Simplify right side
    288,851.42x = 63,681,598,373.38
  5. Step 5: Solve for x
    x = 63,681,598,373.38/288,851.42
  6. Step 6: Final answer
    x = 220,464.90

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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.