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Finding the Fourth Proportional to 295,695.93, 408,060.13 and 159,729.84

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Solution

The fourth proportional to 295,695.93, 408,060.13 and 159,729.84 is: 220,427.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,695.93 : 408,060.13 = 159,729.84 : x
  2. Step 2: Convert to fraction form
    295,695.93/408,060.13 = 159,729.84/x
  3. Step 3: Cross multiply
    295,695.93x = 408,060.13 × 159,729.84
  4. Step 4: Simplify right side
    295,695.93x = 65,179,379,275.28
  5. Step 5: Solve for x
    x = 65,179,379,275.28/295,695.93
  6. Step 6: Final answer
    x = 220,427.04

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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.