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Finding the Fourth Proportional to 329,471.20, 454,678.14 and 186,231.82

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Solution

The fourth proportional to 329,471.20, 454,678.14 and 186,231.82 is: 257,004.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,471.20 : 454,678.14 = 186,231.82 : x
  2. Step 2: Convert to fraction form
    329,471.20/454,678.14 = 186,231.82/x
  3. Step 3: Cross multiply
    329,471.20x = 454,678.14 × 186,231.82
  4. Step 4: Simplify right side
    329,471.20x = 84,675,537,526.41
  5. Step 5: Solve for x
    x = 84,675,537,526.41/329,471.20
  6. Step 6: Final answer
    x = 257,004.37

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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.