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Finding the Fourth Proportional to 287,062.28, 430,622.78 and 109,718.56

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Solution

The fourth proportional to 287,062.28, 430,622.78 and 109,718.56 is: 164,589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,062.28 : 430,622.78 = 109,718.56 : x
  2. Step 2: Convert to fraction form
    287,062.28/430,622.78 = 109,718.56/x
  3. Step 3: Cross multiply
    287,062.28x = 430,622.78 × 109,718.56
  4. Step 4: Simplify right side
    287,062.28x = 47,247,311,324.80
  5. Step 5: Solve for x
    x = 47,247,311,324.80/287,062.28
  6. Step 6: Final answer
    x = 164,589.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.