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Finding the Fourth Proportional to 550,413.49, 824,545.81 and 379,231.33

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Solution

The fourth proportional to 550,413.49, 824,545.81 and 379,231.33 is: 568,106.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,413.49 : 824,545.81 = 379,231.33 : x
  2. Step 2: Convert to fraction form
    550,413.49/824,545.81 = 379,231.33/x
  3. Step 3: Cross multiply
    550,413.49x = 824,545.81 × 379,231.33
  4. Step 4: Simplify right side
    550,413.49x = 312,693,604,172.23
  5. Step 5: Solve for x
    x = 312,693,604,172.23/550,413.49
  6. Step 6: Final answer
    x = 568,106.72

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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.