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Finding the Fourth Proportional to 375,212.52, 517,798.98 and 205,462.44

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Solution

The fourth proportional to 375,212.52, 517,798.98 and 205,462.44 is: 283,541.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,212.52 : 517,798.98 = 205,462.44 : x
  2. Step 2: Convert to fraction form
    375,212.52/517,798.98 = 205,462.44/x
  3. Step 3: Cross multiply
    375,212.52x = 517,798.98 × 205,462.44
  4. Step 4: Simplify right side
    375,212.52x = 106,388,241,860.31
  5. Step 5: Solve for x
    x = 106,388,241,860.31/375,212.52
  6. Step 6: Final answer
    x = 283,541.29

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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.