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Finding the Fourth Proportional to 329,680.62, 454,969.16 and 186,437.79

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Solution

The fourth proportional to 329,680.62, 454,969.16 and 186,437.79 is: 257,289.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,680.62 : 454,969.16 = 186,437.79 : x
  2. Step 2: Convert to fraction form
    329,680.62/454,969.16 = 186,437.79/x
  3. Step 3: Cross multiply
    329,680.62x = 454,969.16 × 186,437.79
  4. Step 4: Simplify right side
    329,680.62x = 84,823,444,708.56
  5. Step 5: Solve for x
    x = 84,823,444,708.56/329,680.62
  6. Step 6: Final answer
    x = 257,289.75

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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.