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Finding the Fourth Proportional to 374,898.25, 517,359.59 and 205,132.38

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Solution

The fourth proportional to 374,898.25, 517,359.59 and 205,132.38 is: 283,082.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,898.25 : 517,359.59 = 205,132.38 : x
  2. Step 2: Convert to fraction form
    374,898.25/517,359.59 = 205,132.38/x
  3. Step 3: Cross multiply
    374,898.25x = 517,359.59 × 205,132.38
  4. Step 4: Simplify right side
    374,898.25x = 106,127,204,012.52
  5. Step 5: Solve for x
    x = 106,127,204,012.52/374,898.25
  6. Step 6: Final answer
    x = 283,082.69

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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.