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Finding the Fourth Proportional to 256,697.23, 384,257.62 and 161,481.59

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Solution

The fourth proportional to 256,697.23, 384,257.62 and 161,481.59 is: 241,726.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,697.23 : 384,257.62 = 161,481.59 : x
  2. Step 2: Convert to fraction form
    256,697.23/384,257.62 = 161,481.59/x
  3. Step 3: Cross multiply
    256,697.23x = 384,257.62 × 161,481.59
  4. Step 4: Simplify right side
    256,697.23x = 62,050,533,431.12
  5. Step 5: Solve for x
    x = 62,050,533,431.12/256,697.23
  6. Step 6: Final answer
    x = 241,726.54

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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.