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Finding the Fourth Proportional to 288,574.69, 398,231.13 and 161,250.58

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Solution

The fourth proportional to 288,574.69, 398,231.13 and 161,250.58 is: 222,524.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,574.69 : 398,231.13 = 161,250.58 : x
  2. Step 2: Convert to fraction form
    288,574.69/398,231.13 = 161,250.58/x
  3. Step 3: Cross multiply
    288,574.69x = 398,231.13 × 161,250.58
  4. Step 4: Simplify right side
    288,574.69x = 64,215,000,686.56
  5. Step 5: Solve for x
    x = 64,215,000,686.56/288,574.69
  6. Step 6: Final answer
    x = 222,524.72

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1.5x scale

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.