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Finding the Fourth Proportional to 329,301, 454,440.24 and 178,398

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Solution

The fourth proportional to 329,301, 454,440.24 and 178,398 is: 246,191.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,301 : 454,440.24 = 178,398 : x
  2. Step 2: Convert to fraction form
    329,301/454,440.24 = 178,398/x
  3. Step 3: Cross multiply
    329,301x = 454,440.24 × 178,398
  4. Step 4: Simplify right side
    329,301x = 81,071,229,935.52
  5. Step 5: Solve for x
    x = 81,071,229,935.52/329,301
  6. Step 6: Final answer
    x = 246,191.87

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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.