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Finding the Fourth Proportional to 375,671.25, 518,426.33 and 205,901.73

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Solution

The fourth proportional to 375,671.25, 518,426.33 and 205,901.73 is: 284,144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,671.25 : 518,426.33 = 205,901.73 : x
  2. Step 2: Convert to fraction form
    375,671.25/518,426.33 = 205,901.73/x
  3. Step 3: Cross multiply
    375,671.25x = 518,426.33 × 205,901.73
  4. Step 4: Simplify right side
    375,671.25x = 106,744,877,195.04
  5. Step 5: Solve for x
    x = 106,744,877,195.04/375,671.25
  6. Step 6: Final answer
    x = 284,144.39

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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.