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Finding the Fourth Proportional to 317,022.64, 437,536 and 196,202.80

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Solution

The fourth proportional to 317,022.64, 437,536 and 196,202.80 is: 270,787.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,022.64 : 437,536 = 196,202.80 : x
  2. Step 2: Convert to fraction form
    317,022.64/437,536 = 196,202.80/x
  3. Step 3: Cross multiply
    317,022.64x = 437,536 × 196,202.80
  4. Step 4: Simplify right side
    317,022.64x = 85,845,788,300.80
  5. Step 5: Solve for x
    x = 85,845,788,300.80/317,022.64
  6. Step 6: Final answer
    x = 270,787.56

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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.