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Finding the Fourth Proportional to 288,864.57, 398,625.64 and 159,799.71

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Solution

The fourth proportional to 288,864.57, 398,625.64 and 159,799.71 is: 220,519.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,864.57 : 398,625.64 = 159,799.71 : x
  2. Step 2: Convert to fraction form
    288,864.57/398,625.64 = 159,799.71/x
  3. Step 3: Cross multiply
    288,864.57x = 398,625.64 × 159,799.71
  4. Step 4: Simplify right side
    288,864.57x = 63,700,261,670.56
  5. Step 5: Solve for x
    x = 63,700,261,670.56/288,864.57
  6. Step 6: Final answer
    x = 220,519.47

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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.