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Finding the Fourth Proportional to 329,600.53, 454,857.69 and 186,382

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Solution

The fourth proportional to 329,600.53, 454,857.69 and 186,382 is: 257,212.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,600.53 : 454,857.69 = 186,382 : x
  2. Step 2: Convert to fraction form
    329,600.53/454,857.69 = 186,382/x
  3. Step 3: Cross multiply
    329,600.53x = 454,857.69 × 186,382
  4. Step 4: Simplify right side
    329,600.53x = 84,777,285,977.58
  5. Step 5: Solve for x
    x = 84,777,285,977.58/329,600.53
  6. Step 6: Final answer
    x = 257,212.23

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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.