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Finding the Fourth Proportional to 329,208, 454,307.04 and 178,306.08

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Solution

The fourth proportional to 329,208, 454,307.04 and 178,306.08 is: 246,062.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,208 : 454,307.04 = 178,306.08 : x
  2. Step 2: Convert to fraction form
    329,208/454,307.04 = 178,306.08/x
  3. Step 3: Cross multiply
    329,208x = 454,307.04 × 178,306.08
  4. Step 4: Simplify right side
    329,208x = 81,005,707,418.80
  5. Step 5: Solve for x
    x = 81,005,707,418.80/329,208
  6. Step 6: Final answer
    x = 246,062.39

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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.