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Finding the Fourth Proportional to 295,611.42, 407,945.34 and 161,475.42

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Solution

The fourth proportional to 295,611.42, 407,945.34 and 161,475.42 is: 222,836.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,611.42 : 407,945.34 = 161,475.42 : x
  2. Step 2: Convert to fraction form
    295,611.42/407,945.34 = 161,475.42/x
  3. Step 3: Cross multiply
    295,611.42x = 407,945.34 × 161,475.42
  4. Step 4: Simplify right side
    295,611.42x = 65,873,145,113.54
  5. Step 5: Solve for x
    x = 65,873,145,113.54/295,611.42
  6. Step 6: Final answer
    x = 222,836.94

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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.