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Finding the Fourth Proportional to 420,552.27, 580,358.16 and 259,342.83

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Solution

The fourth proportional to 420,552.27, 580,358.16 and 259,342.83 is: 357,890.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,552.27 : 580,358.16 = 259,342.83 : x
  2. Step 2: Convert to fraction form
    420,552.27/580,358.16 = 259,342.83/x
  3. Step 3: Cross multiply
    420,552.27x = 580,358.16 × 259,342.83
  4. Step 4: Simplify right side
    420,552.27x = 150,511,727,627.99
  5. Step 5: Solve for x
    x = 150,511,727,627.99/420,552.27
  6. Step 6: Final answer
    x = 357,890.66

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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.