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Finding the Fourth Proportional to 295,689.28, 408,051.38 and 159,723.24

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Solution

The fourth proportional to 295,689.28, 408,051.38 and 159,723.24 is: 220,418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,689.28 : 408,051.38 = 159,723.24 : x
  2. Step 2: Convert to fraction form
    295,689.28/408,051.38 = 159,723.24/x
  3. Step 3: Cross multiply
    295,689.28x = 408,051.38 × 159,723.24
  4. Step 4: Simplify right side
    295,689.28x = 65,175,288,500.07
  5. Step 5: Solve for x
    x = 65,175,288,500.07/295,689.28
  6. Step 6: Final answer
    x = 220,418.16

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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.