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Finding the Fourth Proportional to 256,445.20, 384,667.80 and 66,905.20

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Solution

The fourth proportional to 256,445.20, 384,667.80 and 66,905.20 is: 100,357.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,445.20 : 384,667.80 = 66,905.20 : x
  2. Step 2: Convert to fraction form
    256,445.20/384,667.80 = 66,905.20/x
  3. Step 3: Cross multiply
    256,445.20x = 384,667.80 × 66,905.20
  4. Step 4: Simplify right side
    256,445.20x = 25,736,276,092.56
  5. Step 5: Solve for x
    x = 25,736,276,092.56/256,445.20
  6. Step 6: Final answer
    x = 100,357.80

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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.