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Finding the Fourth Proportional to 256,453.56, 384,724.62 and 114,349.32

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Solution

The fourth proportional to 256,453.56, 384,724.62 and 114,349.32 is: 171,543.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,453.56 : 384,724.62 = 114,349.32 : x
  2. Step 2: Convert to fraction form
    256,453.56/384,724.62 = 114,349.32/x
  3. Step 3: Cross multiply
    256,453.56x = 384,724.62 × 114,349.32
  4. Step 4: Simplify right side
    256,453.56x = 43,992,998,684.26
  5. Step 5: Solve for x
    x = 43,992,998,684.26/256,453.56
  6. Step 6: Final answer
    x = 171,543.72

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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.