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Finding the Fourth Proportional to 295,685.30, 408,045.87 and 159,719.25

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Solution

The fourth proportional to 295,685.30, 408,045.87 and 159,719.25 is: 220,412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,685.30 : 408,045.87 = 159,719.25 : x
  2. Step 2: Convert to fraction form
    295,685.30/408,045.87 = 159,719.25/x
  3. Step 3: Cross multiply
    295,685.30x = 408,045.87 × 159,719.25
  4. Step 4: Simplify right side
    295,685.30x = 65,172,780,322.00
  5. Step 5: Solve for x
    x = 65,172,780,322.00/295,685.30
  6. Step 6: Final answer
    x = 220,412.65

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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.