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Finding the Fourth Proportional to 375,021.26, 517,537.86 and 205,255.82

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Solution

The fourth proportional to 375,021.26, 517,537.86 and 205,255.82 is: 283,257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,021.26 : 517,537.86 = 205,255.82 : x
  2. Step 2: Convert to fraction form
    375,021.26/517,537.86 = 205,255.82/x
  3. Step 3: Cross multiply
    375,021.26x = 517,537.86 × 205,255.82
  4. Step 4: Simplify right side
    375,021.26x = 106,227,657,835.35
  5. Step 5: Solve for x
    x = 106,227,657,835.35/375,021.26
  6. Step 6: Final answer
    x = 283,257.70

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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.