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Finding the Fourth Proportional to 295,674, 408,030.12 and 161,538

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Solution

The fourth proportional to 295,674, 408,030.12 and 161,538 is: 222,922.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,674 : 408,030.12 = 161,538 : x
  2. Step 2: Convert to fraction form
    295,674/408,030.12 = 161,538/x
  3. Step 3: Cross multiply
    295,674x = 408,030.12 × 161,538
  4. Step 4: Simplify right side
    295,674x = 65,912,369,524.56
  5. Step 5: Solve for x
    x = 65,912,369,524.56/295,674
  6. Step 6: Final answer
    x = 222,922.44

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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.