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Finding the Fourth Proportional to 461,299.86, 691,162.47 and 250,560.54

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Solution

The fourth proportional to 461,299.86, 691,162.47 and 250,560.54 is: 375,413.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,299.86 : 691,162.47 = 250,560.54 : x
  2. Step 2: Convert to fraction form
    461,299.86/691,162.47 = 250,560.54/x
  3. Step 3: Cross multiply
    461,299.86x = 691,162.47 × 250,560.54
  4. Step 4: Simplify right side
    461,299.86x = 173,178,041,710.93
  5. Step 5: Solve for x
    x = 173,178,041,710.93/461,299.86
  6. Step 6: Final answer
    x = 375,413.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.