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Finding the Fourth Proportional to 371,266.37, 512,348.10 and 201,500.50

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Solution

The fourth proportional to 371,266.37, 512,348.10 and 201,500.50 is: 278,070.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,266.37 : 512,348.10 = 201,500.50 : x
  2. Step 2: Convert to fraction form
    371,266.37/512,348.10 = 201,500.50/x
  3. Step 3: Cross multiply
    371,266.37x = 512,348.10 × 201,500.50
  4. Step 4: Simplify right side
    371,266.37x = 103,238,394,754.81
  5. Step 5: Solve for x
    x = 103,238,394,754.81/371,266.37
  6. Step 6: Final answer
    x = 278,070.96

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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.