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Finding the Fourth Proportional to 256,930.80, 385,396.20 and 194,722.80

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Solution

The fourth proportional to 256,930.80, 385,396.20 and 194,722.80 is: 292,084.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,930.80 : 385,396.20 = 194,722.80 : x
  2. Step 2: Convert to fraction form
    256,930.80/385,396.20 = 194,722.80/x
  3. Step 3: Cross multiply
    256,930.80x = 385,396.20 × 194,722.80
  4. Step 4: Simplify right side
    256,930.80x = 75,045,427,173.36
  5. Step 5: Solve for x
    x = 75,045,427,173.36/256,930.80
  6. Step 6: Final answer
    x = 292,084.20

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1.5x scale

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.