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Finding the Fourth Proportional to 256,069.60, 384,104.40 and 193,861.60

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Solution

The fourth proportional to 256,069.60, 384,104.40 and 193,861.60 is: 290,792.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,069.60 : 384,104.40 = 193,861.60 : x
  2. Step 2: Convert to fraction form
    256,069.60/384,104.40 = 193,861.60/x
  3. Step 3: Cross multiply
    256,069.60x = 384,104.40 × 193,861.60
  4. Step 4: Simplify right side
    256,069.60x = 74,463,093,551.04
  5. Step 5: Solve for x
    x = 74,463,093,551.04/256,069.60
  6. Step 6: Final answer
    x = 290,792.40

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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.