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Finding the Fourth Proportional to 589,413.70, 813,379.89 and 327,785.05

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Solution

The fourth proportional to 589,413.70, 813,379.89 and 327,785.05 is: 452,337.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,413.70 : 813,379.89 = 327,785.05 : x
  2. Step 2: Convert to fraction form
    589,413.70/813,379.89 = 327,785.05/x
  3. Step 3: Cross multiply
    589,413.70x = 813,379.89 × 327,785.05
  4. Step 4: Simplify right side
    589,413.70x = 266,613,767,912.65
  5. Step 5: Solve for x
    x = 266,613,767,912.65/589,413.70
  6. Step 6: Final answer
    x = 452,337.24

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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.