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Finding the Fourth Proportional to 311,124.56, 429,172.98 and 196,362.42

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Solution

The fourth proportional to 311,124.56, 429,172.98 and 196,362.42 is: 270,867.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,124.56 : 429,172.98 = 196,362.42 : x
  2. Step 2: Convert to fraction form
    311,124.56/429,172.98 = 196,362.42/x
  3. Step 3: Cross multiply
    311,124.56x = 429,172.98 × 196,362.42
  4. Step 4: Simplify right side
    311,124.56x = 84,273,444,951.41
  5. Step 5: Solve for x
    x = 84,273,444,951.41/311,124.56
  6. Step 6: Final answer
    x = 270,867.23

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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.