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Finding the Fourth Proportional to 374,963.10, 517,446.63 and 205,196.70

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Solution

The fourth proportional to 374,963.10, 517,446.63 and 205,196.70 is: 283,170.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,963.10 : 517,446.63 = 205,196.70 : x
  2. Step 2: Convert to fraction form
    374,963.10/517,446.63 = 205,196.70/x
  3. Step 3: Cross multiply
    374,963.10x = 517,446.63 × 205,196.70
  4. Step 4: Simplify right side
    374,963.10x = 106,178,340,902.12
  5. Step 5: Solve for x
    x = 106,178,340,902.12/374,963.10
  6. Step 6: Final answer
    x = 283,170.11

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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.