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Finding the Fourth Proportional to 371,677.38, 512,911.98 and 201,912.72

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Solution

The fourth proportional to 371,677.38, 512,911.98 and 201,912.72 is: 278,638.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,677.38 : 512,911.98 = 201,912.72 : x
  2. Step 2: Convert to fraction form
    371,677.38/512,911.98 = 201,912.72/x
  3. Step 3: Cross multiply
    371,677.38x = 512,911.98 × 201,912.72
  4. Step 4: Simplify right side
    371,677.38x = 103,563,453,002.39
  5. Step 5: Solve for x
    x = 103,563,453,002.39/371,677.38
  6. Step 6: Final answer
    x = 278,638.03

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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.