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Finding the Fourth Proportional to 371,198.19, 512,254.89 and 201,432.33

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Solution

The fourth proportional to 371,198.19, 512,254.89 and 201,432.33 is: 277,977.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,198.19 : 512,254.89 = 201,432.33 : x
  2. Step 2: Convert to fraction form
    371,198.19/512,254.89 = 201,432.33/x
  3. Step 3: Cross multiply
    371,198.19x = 512,254.89 × 201,432.33
  4. Step 4: Simplify right side
    371,198.19x = 103,184,696,046.59
  5. Step 5: Solve for x
    x = 103,184,696,046.59/371,198.19
  6. Step 6: Final answer
    x = 277,977.37

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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.