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Finding the Fourth Proportional to 256,071.60, 384,107.40 and 193,863.60

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Solution

The fourth proportional to 256,071.60, 384,107.40 and 193,863.60 is: 290,795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,071.60 : 384,107.40 = 193,863.60 : x
  2. Step 2: Convert to fraction form
    256,071.60/384,107.40 = 193,863.60/x
  3. Step 3: Cross multiply
    256,071.60x = 384,107.40 × 193,863.60
  4. Step 4: Simplify right side
    256,071.60x = 74,464,443,350.64
  5. Step 5: Solve for x
    x = 74,464,443,350.64/256,071.60
  6. Step 6: Final answer
    x = 290,795.40

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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.