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Finding the Fourth Proportional to 329,682.62, 454,984.98 and 186,443.30

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Solution

The fourth proportional to 329,682.62, 454,984.98 and 186,443.30 is: 257,304.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,682.62 : 454,984.98 = 186,443.30 : x
  2. Step 2: Convert to fraction form
    329,682.62/454,984.98 = 186,443.30/x
  3. Step 3: Cross multiply
    329,682.62x = 454,984.98 × 186,443.30
  4. Step 4: Simplify right side
    329,682.62x = 84,828,901,121.63
  5. Step 5: Solve for x
    x = 84,828,901,121.63/329,682.62
  6. Step 6: Final answer
    x = 257,304.74

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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.