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Finding the Fourth Proportional to 295,282.23, 407,489.34 and 161,146.23

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Solution

The fourth proportional to 295,282.23, 407,489.34 and 161,146.23 is: 222,381.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,282.23 : 407,489.34 = 161,146.23 : x
  2. Step 2: Convert to fraction form
    295,282.23/407,489.34 = 161,146.23/x
  3. Step 3: Cross multiply
    295,282.23x = 407,489.34 × 161,146.23
  4. Step 4: Simplify right side
    295,282.23x = 65,665,370,906.19
  5. Step 5: Solve for x
    x = 65,665,370,906.19/295,282.23
  6. Step 6: Final answer
    x = 222,381.72

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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.