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Finding the Fourth Proportional to 329,689.80, 454,980.60 and 186,471

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Solution

The fourth proportional to 329,689.80, 454,980.60 and 186,471 is: 257,334.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,689.80 : 454,980.60 = 186,471 : x
  2. Step 2: Convert to fraction form
    329,689.80/454,980.60 = 186,471/x
  3. Step 3: Cross multiply
    329,689.80x = 454,980.60 × 186,471
  4. Step 4: Simplify right side
    329,689.80x = 84,840,687,462.60
  5. Step 5: Solve for x
    x = 84,840,687,462.60/329,689.80
  6. Step 6: Final answer
    x = 257,334.89

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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.