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Finding the Fourth Proportional to 327,954.72, 492,194.52 and 170,228.28

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Solution

The fourth proportional to 327,954.72, 492,194.52 and 170,228.28 is: 255,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,954.72 : 492,194.52 = 170,228.28 : x
  2. Step 2: Convert to fraction form
    327,954.72/492,194.52 = 170,228.28/x
  3. Step 3: Cross multiply
    327,954.72x = 492,194.52 × 170,228.28
  4. Step 4: Simplify right side
    327,954.72x = 83,785,426,565.03
  5. Step 5: Solve for x
    x = 83,785,426,565.03/327,954.72
  6. Step 6: Final answer
    x = 255,478.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.