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Finding the Fourth Proportional to 256,597.44, 384,855.72 and 85,817.85

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Solution

The fourth proportional to 256,597.44, 384,855.72 and 85,817.85 is: 128,713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,597.44 : 384,855.72 = 85,817.85 : x
  2. Step 2: Convert to fraction form
    256,597.44/384,855.72 = 85,817.85/x
  3. Step 3: Cross multiply
    256,597.44x = 384,855.72 × 85,817.85
  4. Step 4: Simplify right side
    256,597.44x = 33,027,490,450.60
  5. Step 5: Solve for x
    x = 33,027,490,450.60/256,597.44
  6. Step 6: Final answer
    x = 128,713.25

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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.