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Finding the Fourth Proportional to 374,764.48, 517,167.12 and 204,992.80

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Solution

The fourth proportional to 374,764.48, 517,167.12 and 204,992.80 is: 282,885.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,764.48 : 517,167.12 = 204,992.80 : x
  2. Step 2: Convert to fraction form
    374,764.48/517,167.12 = 204,992.80/x
  3. Step 3: Cross multiply
    374,764.48x = 517,167.12 × 204,992.80
  4. Step 4: Simplify right side
    374,764.48x = 106,015,535,996.74
  5. Step 5: Solve for x
    x = 106,015,535,996.74/374,764.48
  6. Step 6: Final answer
    x = 282,885.76

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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.