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Finding the Fourth Proportional to 594,413.24, 820,367.65 and 332,868.16

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Solution

The fourth proportional to 594,413.24, 820,367.65 and 332,868.16 is: 459,401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,413.24 : 820,367.65 = 332,868.16 : x
  2. Step 2: Convert to fraction form
    594,413.24/820,367.65 = 332,868.16/x
  3. Step 3: Cross multiply
    594,413.24x = 820,367.65 × 332,868.16
  4. Step 4: Simplify right side
    594,413.24x = 273,074,267,295.93
  5. Step 5: Solve for x
    x = 273,074,267,295.93/594,413.24
  6. Step 6: Final answer
    x = 459,401.39

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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.