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Finding the Fourth Proportional to 329,642.16, 454,904.28 and 178,735.92

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Solution

The fourth proportional to 329,642.16, 454,904.28 and 178,735.92 is: 246,654.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,642.16 : 454,904.28 = 178,735.92 : x
  2. Step 2: Convert to fraction form
    329,642.16/454,904.28 = 178,735.92/x
  3. Step 3: Cross multiply
    329,642.16x = 454,904.28 × 178,735.92
  4. Step 4: Simplify right side
    329,642.16x = 81,307,734,997.74
  5. Step 5: Solve for x
    x = 81,307,734,997.74/329,642.16
  6. Step 6: Final answer
    x = 246,654.54

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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.