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Finding the Fourth Proportional to 296,062, 408,565.56 and 161,926

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Solution

The fourth proportional to 296,062, 408,565.56 and 161,926 is: 223,457.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,062 : 408,565.56 = 161,926 : x
  2. Step 2: Convert to fraction form
    296,062/408,565.56 = 161,926/x
  3. Step 3: Cross multiply
    296,062x = 408,565.56 × 161,926
  4. Step 4: Simplify right side
    296,062x = 66,157,386,868.56
  5. Step 5: Solve for x
    x = 66,157,386,868.56/296,062
  6. Step 6: Final answer
    x = 223,457.88

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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.