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Finding the Fourth Proportional to 256,242.60, 384,363.90 and 252,743.40

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Solution

The fourth proportional to 256,242.60, 384,363.90 and 252,743.40 is: 379,115.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,242.60 : 384,363.90 = 252,743.40 : x
  2. Step 2: Convert to fraction form
    256,242.60/384,363.90 = 252,743.40/x
  3. Step 3: Cross multiply
    256,242.60x = 384,363.90 × 252,743.40
  4. Step 4: Simplify right side
    256,242.60x = 97,145,438,923.26
  5. Step 5: Solve for x
    x = 97,145,438,923.26/256,242.60
  6. Step 6: Final answer
    x = 379,115.10

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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.