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Finding the Fourth Proportional to 374,937.74, 517,414.12 and 205,171.88

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Solution

The fourth proportional to 374,937.74, 517,414.12 and 205,171.88 is: 283,137.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,937.74 : 517,414.12 = 205,171.88 : x
  2. Step 2: Convert to fraction form
    374,937.74/517,414.12 = 205,171.88/x
  3. Step 3: Cross multiply
    374,937.74x = 517,414.12 × 205,171.88
  4. Step 4: Simplify right side
    374,937.74x = 106,158,824,638.95
  5. Step 5: Solve for x
    x = 106,158,824,638.95/374,937.74
  6. Step 6: Final answer
    x = 283,137.21

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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.