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Finding the Fourth Proportional to 295,693.30, 408,056.49 and 159,727.20

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Solution

The fourth proportional to 295,693.30, 408,056.49 and 159,727.20 is: 220,423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,693.30 : 408,056.49 = 159,727.20 : x
  2. Step 2: Convert to fraction form
    295,693.30/408,056.49 = 159,727.20/x
  3. Step 3: Cross multiply
    295,693.30x = 408,056.49 × 159,727.20
  4. Step 4: Simplify right side
    295,693.30x = 65,177,720,589.53
  5. Step 5: Solve for x
    x = 65,177,720,589.53/295,693.30
  6. Step 6: Final answer
    x = 220,423.39

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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.