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Finding the Fourth Proportional to 305,394.81, 421,447.38 and 169,437.69

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Solution

The fourth proportional to 305,394.81, 421,447.38 and 169,437.69 is: 233,825.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,394.81 : 421,447.38 = 169,437.69 : x
  2. Step 2: Convert to fraction form
    305,394.81/421,447.38 = 169,437.69/x
  3. Step 3: Cross multiply
    305,394.81x = 421,447.38 × 169,437.69
  4. Step 4: Simplify right side
    305,394.81x = 71,409,070,523.75
  5. Step 5: Solve for x
    x = 71,409,070,523.75/305,394.81
  6. Step 6: Final answer
    x = 233,825.42

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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.