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Finding the Fourth Proportional to 305,456.42, 420,035.10 and 265,100.09

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Solution

The fourth proportional to 305,456.42, 420,035.10 and 265,100.09 is: 364,540.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,456.42 : 420,035.10 = 265,100.09 : x
  2. Step 2: Convert to fraction form
    305,456.42/420,035.10 = 265,100.09/x
  3. Step 3: Cross multiply
    305,456.42x = 420,035.10 × 265,100.09
  4. Step 4: Simplify right side
    305,456.42x = 111,351,342,813.16
  5. Step 5: Solve for x
    x = 111,351,342,813.16/305,456.42
  6. Step 6: Final answer
    x = 364,540.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.