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Finding the Fourth Proportional to 308,774.20, 462,505.20 and 256,286.20

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Solution

The fourth proportional to 308,774.20, 462,505.20 and 256,286.20 is: 383,884.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,774.20 : 462,505.20 = 256,286.20 : x
  2. Step 2: Convert to fraction form
    308,774.20/462,505.20 = 256,286.20/x
  3. Step 3: Cross multiply
    308,774.20x = 462,505.20 × 256,286.20
  4. Step 4: Simplify right side
    308,774.20x = 118,533,700,188.24
  5. Step 5: Solve for x
    x = 118,533,700,188.24/308,774.20
  6. Step 6: Final answer
    x = 383,884.73

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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.