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Finding the Fourth Proportional to 594,413.07, 820,289.94 and 339,769.73

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Solution

The fourth proportional to 594,413.07, 820,289.94 and 339,769.73 is: 468,882.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,413.07 : 820,289.94 = 339,769.73 : x
  2. Step 2: Convert to fraction form
    594,413.07/820,289.94 = 339,769.73/x
  3. Step 3: Cross multiply
    594,413.07x = 820,289.94 × 339,769.73
  4. Step 4: Simplify right side
    594,413.07x = 278,709,687,334.07
  5. Step 5: Solve for x
    x = 278,709,687,334.07/594,413.07
  6. Step 6: Final answer
    x = 468,882.17

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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.