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Finding the Fourth Proportional to 305,381.53, 421,427.01 and 169,415.49

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Solution

The fourth proportional to 305,381.53, 421,427.01 and 169,415.49 is: 233,793.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,381.53 : 421,427.01 = 169,415.49 : x
  2. Step 2: Convert to fraction form
    305,381.53/421,427.01 = 169,415.49/x
  3. Step 3: Cross multiply
    305,381.53x = 421,427.01 × 169,415.49
  4. Step 4: Simplify right side
    305,381.53x = 71,396,263,398.38
  5. Step 5: Solve for x
    x = 71,396,263,398.38/305,381.53
  6. Step 6: Final answer
    x = 233,793.65

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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.