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Finding the Fourth Proportional to 256,405.50, 384,624.45 and 98,633.70

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Solution

The fourth proportional to 256,405.50, 384,624.45 and 98,633.70 is: 147,956.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,405.50 : 384,624.45 = 98,633.70 : x
  2. Step 2: Convert to fraction form
    256,405.50/384,624.45 = 98,633.70/x
  3. Step 3: Cross multiply
    256,405.50x = 384,624.45 × 98,633.70
  4. Step 4: Simplify right side
    256,405.50x = 37,936,932,613.97
  5. Step 5: Solve for x
    x = 37,936,932,613.97/256,405.50
  6. Step 6: Final answer
    x = 147,956.78

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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.