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Finding the Fourth Proportional to 317,013, 437,522.70 and 196,193.22

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Solution

The fourth proportional to 317,013, 437,522.70 and 196,193.22 is: 270,774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,013 : 437,522.70 = 196,193.22 : x
  2. Step 2: Convert to fraction form
    317,013/437,522.70 = 196,193.22/x
  3. Step 3: Cross multiply
    317,013x = 437,522.70 × 196,193.22
  4. Step 4: Simplify right side
    317,013x = 85,838,987,336.09
  5. Step 5: Solve for x
    x = 85,838,987,336.09/317,013
  6. Step 6: Final answer
    x = 270,774.34

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1.5x scale

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.