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Finding the Fourth Proportional to 295,816.91, 408,256.02 and 174,997.04

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Solution

The fourth proportional to 295,816.91, 408,256.02 and 174,997.04 is: 241,512.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,816.91 : 408,256.02 = 174,997.04 : x
  2. Step 2: Convert to fraction form
    295,816.91/408,256.02 = 174,997.04/x
  3. Step 3: Cross multiply
    295,816.91x = 408,256.02 × 174,997.04
  4. Step 4: Simplify right side
    295,816.91x = 71,443,593,020.90
  5. Step 5: Solve for x
    x = 71,443,593,020.90/295,816.91
  6. Step 6: Final answer
    x = 241,512.88

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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.