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Finding the Fourth Proportional to 256,410.43, 383,016.68 and 189,980.30

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Solution

The fourth proportional to 256,410.43, 383,016.68 and 189,980.30 is: 283,785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,410.43 : 383,016.68 = 189,980.30 : x
  2. Step 2: Convert to fraction form
    256,410.43/383,016.68 = 189,980.30/x
  3. Step 3: Cross multiply
    256,410.43x = 383,016.68 × 189,980.30
  4. Step 4: Simplify right side
    256,410.43x = 72,765,625,560.11
  5. Step 5: Solve for x
    x = 72,765,625,560.11/256,410.43
  6. Step 6: Final answer
    x = 283,785.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.