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Finding the Fourth Proportional to 295,575.75, 407,896.16 and 161,439.75

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Solution

The fourth proportional to 295,575.75, 407,896.16 and 161,439.75 is: 222,787.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,575.75 : 407,896.16 = 161,439.75 : x
  2. Step 2: Convert to fraction form
    295,575.75/407,896.16 = 161,439.75/x
  3. Step 3: Cross multiply
    295,575.75x = 407,896.16 × 161,439.75
  4. Step 4: Simplify right side
    295,575.75x = 65,850,653,289.16
  5. Step 5: Solve for x
    x = 65,850,653,289.16/295,575.75
  6. Step 6: Final answer
    x = 222,787.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.