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Finding the Fourth Proportional to 288,589.17, 398,254.37 and 157,769.52

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Solution

The fourth proportional to 288,589.17, 398,254.37 and 157,769.52 is: 217,722.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,589.17 : 398,254.37 = 157,769.52 : x
  2. Step 2: Convert to fraction form
    288,589.17/398,254.37 = 157,769.52/x
  3. Step 3: Cross multiply
    288,589.17x = 398,254.37 × 157,769.52
  4. Step 4: Simplify right side
    288,589.17x = 62,832,400,792.80
  5. Step 5: Solve for x
    x = 62,832,400,792.80/288,589.17
  6. Step 6: Final answer
    x = 217,722.66

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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.