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Finding the Fourth Proportional to 375,133.57, 517,684.33 and 205,367.69

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Solution

The fourth proportional to 375,133.57, 517,684.33 and 205,367.69 is: 283,407.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,133.57 : 517,684.33 = 205,367.69 : x
  2. Step 2: Convert to fraction form
    375,133.57/517,684.33 = 205,367.69/x
  3. Step 3: Cross multiply
    375,133.57x = 517,684.33 × 205,367.69
  4. Step 4: Simplify right side
    375,133.57x = 106,315,635,001.30
  5. Step 5: Solve for x
    x = 106,315,635,001.30/375,133.57
  6. Step 6: Final answer
    x = 283,407.41

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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.