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Finding the Fourth Proportional to 375,672.25, 518,427.71 and 205,902.73

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Solution

The fourth proportional to 375,672.25, 518,427.71 and 205,902.73 is: 284,145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,672.25 : 518,427.71 = 205,902.73 : x
  2. Step 2: Convert to fraction form
    375,672.25/518,427.71 = 205,902.73/x
  3. Step 3: Cross multiply
    375,672.25x = 518,427.71 × 205,902.73
  4. Step 4: Simplify right side
    375,672.25x = 106,745,680,796.65
  5. Step 5: Solve for x
    x = 106,745,680,796.65/375,672.25
  6. Step 6: Final answer
    x = 284,145.77

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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.