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Finding the Fourth Proportional to 407,750.40, 611,625.60 and 256,191.30

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Solution

The fourth proportional to 407,750.40, 611,625.60 and 256,191.30 is: 384,286.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,750.40 : 611,625.60 = 256,191.30 : x
  2. Step 2: Convert to fraction form
    407,750.40/611,625.60 = 256,191.30/x
  3. Step 3: Cross multiply
    407,750.40x = 611,625.60 × 256,191.30
  4. Step 4: Simplify right side
    407,750.40x = 156,693,157,577.28
  5. Step 5: Solve for x
    x = 156,693,157,577.28/407,750.40
  6. Step 6: Final answer
    x = 384,286.95

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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.