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Finding the Fourth Proportional to 329,589.06, 454,830.30 and 186,377.28

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Solution

The fourth proportional to 329,589.06, 454,830.30 and 186,377.28 is: 257,199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,589.06 : 454,830.30 = 186,377.28 : x
  2. Step 2: Convert to fraction form
    329,589.06/454,830.30 = 186,377.28/x
  3. Step 3: Cross multiply
    329,589.06x = 454,830.30 × 186,377.28
  4. Step 4: Simplify right side
    329,589.06x = 84,770,034,175.58
  5. Step 5: Solve for x
    x = 84,770,034,175.58/329,589.06
  6. Step 6: Final answer
    x = 257,199.17

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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.