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Finding the Fourth Proportional to 374,877.64, 517,338.60 and 205,115.38

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Solution

The fourth proportional to 374,877.64, 517,338.60 and 205,115.38 is: 283,063.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,877.64 : 517,338.60 = 205,115.38 : x
  2. Step 2: Convert to fraction form
    374,877.64/517,338.60 = 205,115.38/x
  3. Step 3: Cross multiply
    374,877.64x = 517,338.60 × 205,115.38
  4. Step 4: Simplify right side
    374,877.64x = 106,114,103,527.67
  5. Step 5: Solve for x
    x = 106,114,103,527.67/374,877.64
  6. Step 6: Final answer
    x = 283,063.30

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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.