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Finding the Fourth Proportional to 375,300.65, 517,951.82 and 214,179.92

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Solution

The fourth proportional to 375,300.65, 517,951.82 and 214,179.92 is: 295,589.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,300.65 : 517,951.82 = 214,179.92 : x
  2. Step 2: Convert to fraction form
    375,300.65/517,951.82 = 214,179.92/x
  3. Step 3: Cross multiply
    375,300.65x = 517,951.82 × 214,179.92
  4. Step 4: Simplify right side
    375,300.65x = 110,934,877,589.14
  5. Step 5: Solve for x
    x = 110,934,877,589.14/375,300.65
  6. Step 6: Final answer
    x = 295,589.36

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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.