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Finding the Fourth Proportional to 317,216.40, 437,529.12 and 269,394

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Solution

The fourth proportional to 317,216.40, 437,529.12 and 269,394 is: 371,568.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,216.40 : 437,529.12 = 269,394 : x
  2. Step 2: Convert to fraction form
    317,216.40/437,529.12 = 269,394/x
  3. Step 3: Cross multiply
    317,216.40x = 437,529.12 × 269,394
  4. Step 4: Simplify right side
    317,216.40x = 117,867,719,753.28
  5. Step 5: Solve for x
    x = 117,867,719,753.28/317,216.40
  6. Step 6: Final answer
    x = 371,568.81

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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.