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Finding the Fourth Proportional to 256,891.60, 385,337.40 and 212,654.80

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Solution

The fourth proportional to 256,891.60, 385,337.40 and 212,654.80 is: 318,982.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,891.60 : 385,337.40 = 212,654.80 : x
  2. Step 2: Convert to fraction form
    256,891.60/385,337.40 = 212,654.80/x
  3. Step 3: Cross multiply
    256,891.60x = 385,337.40 × 212,654.80
  4. Step 4: Simplify right side
    256,891.60x = 81,943,847,729.52
  5. Step 5: Solve for x
    x = 81,943,847,729.52/256,891.60
  6. Step 6: Final answer
    x = 318,982.20

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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.