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Finding the Fourth Proportional to 329,691.80, 454,983.36 and 186,473

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Solution

The fourth proportional to 329,691.80, 454,983.36 and 186,473 is: 257,337.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,691.80 : 454,983.36 = 186,473 : x
  2. Step 2: Convert to fraction form
    329,691.80/454,983.36 = 186,473/x
  3. Step 3: Cross multiply
    329,691.80x = 454,983.36 × 186,473
  4. Step 4: Simplify right side
    329,691.80x = 84,842,112,089.28
  5. Step 5: Solve for x
    x = 84,842,112,089.28/329,691.80
  6. Step 6: Final answer
    x = 257,337.65

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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.