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Finding the Fourth Proportional to 374,691.96, 517,071.60 and 204,927.30

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Solution

The fourth proportional to 374,691.96, 517,071.60 and 204,927.30 is: 282,797.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,691.96 : 517,071.60 = 204,927.30 : x
  2. Step 2: Convert to fraction form
    374,691.96/517,071.60 = 204,927.30/x
  3. Step 3: Cross multiply
    374,691.96x = 517,071.60 × 204,927.30
  4. Step 4: Simplify right side
    374,691.96x = 105,962,086,894.68
  5. Step 5: Solve for x
    x = 105,962,086,894.68/374,691.96
  6. Step 6: Final answer
    x = 282,797.87

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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.