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Finding the Fourth Proportional to 371,959.60, 513,298.20 and 202,198

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Solution

The fourth proportional to 371,959.60, 513,298.20 and 202,198 is: 279,029.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,959.60 : 513,298.20 = 202,198 : x
  2. Step 2: Convert to fraction form
    371,959.60/513,298.20 = 202,198/x
  3. Step 3: Cross multiply
    371,959.60x = 513,298.20 × 202,198
  4. Step 4: Simplify right side
    371,959.60x = 103,787,869,443.60
  5. Step 5: Solve for x
    x = 103,787,869,443.60/371,959.60
  6. Step 6: Final answer
    x = 279,029.95

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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.