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Finding the Fourth Proportional to 375,214.70, 517,791.15 and 205,448.83

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Solution

The fourth proportional to 375,214.70, 517,791.15 and 205,448.83 is: 283,516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,214.70 : 517,791.15 = 205,448.83 : x
  2. Step 2: Convert to fraction form
    375,214.70/517,791.15 = 205,448.83/x
  3. Step 3: Cross multiply
    375,214.70x = 517,791.15 × 205,448.83
  4. Step 4: Simplify right side
    375,214.70x = 106,379,584,657.38
  5. Step 5: Solve for x
    x = 106,379,584,657.38/375,214.70
  6. Step 6: Final answer
    x = 283,516.57

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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.