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Finding the Fourth Proportional to 371,034.12, 512,023.50 and 201,268.20

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Solution

The fourth proportional to 371,034.12, 512,023.50 and 201,268.20 is: 277,748.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,034.12 : 512,023.50 = 201,268.20 : x
  2. Step 2: Convert to fraction form
    371,034.12/512,023.50 = 201,268.20/x
  3. Step 3: Cross multiply
    371,034.12x = 512,023.50 × 201,268.20
  4. Step 4: Simplify right side
    371,034.12x = 103,054,048,202.70
  5. Step 5: Solve for x
    x = 103,054,048,202.70/371,034.12
  6. Step 6: Final answer
    x = 277,748.17

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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.