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Finding the Fourth Proportional to 288,612.66, 398,286.95 and 161,290.38

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Solution

The fourth proportional to 288,612.66, 398,286.95 and 161,290.38 is: 222,581.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,612.66 : 398,286.95 = 161,290.38 : x
  2. Step 2: Convert to fraction form
    288,612.66/398,286.95 = 161,290.38/x
  3. Step 3: Cross multiply
    288,612.66x = 398,286.95 × 161,290.38
  4. Step 4: Simplify right side
    288,612.66x = 64,239,852,708.09
  5. Step 5: Solve for x
    x = 64,239,852,708.09/288,612.66
  6. Step 6: Final answer
    x = 222,581.55

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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.