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Finding the Fourth Proportional to 374,893.75, 517,353.38 and 205,127.88

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Solution

The fourth proportional to 374,893.75, 517,353.38 and 205,127.88 is: 283,076.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,893.75 : 517,353.38 = 205,127.88 : x
  2. Step 2: Convert to fraction form
    374,893.75/517,353.38 = 205,127.88/x
  3. Step 3: Cross multiply
    374,893.75x = 517,353.38 × 205,127.88
  4. Step 4: Simplify right side
    374,893.75x = 106,123,602,050.23
  5. Step 5: Solve for x
    x = 106,123,602,050.23/374,893.75
  6. Step 6: Final answer
    x = 283,076.48

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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.