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Finding the Fourth Proportional to 267,319.20, 401,367.60 and 201,223.20

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Solution

The fourth proportional to 267,319.20, 401,367.60 and 201,223.20 is: 302,127.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,319.20 : 401,367.60 = 201,223.20 : x
  2. Step 2: Convert to fraction form
    267,319.20/401,367.60 = 201,223.20/x
  3. Step 3: Cross multiply
    267,319.20x = 401,367.60 × 201,223.20
  4. Step 4: Simplify right side
    267,319.20x = 80,764,472,848.32
  5. Step 5: Solve for x
    x = 80,764,472,848.32/267,319.20
  6. Step 6: Final answer
    x = 302,127.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.