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Finding the Fourth Proportional to 350,413.46, 525,952.49 and 216,889.82

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Solution

The fourth proportional to 350,413.46, 525,952.49 and 216,889.82 is: 325,540.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,413.46 : 525,952.49 = 216,889.82 : x
  2. Step 2: Convert to fraction form
    350,413.46/525,952.49 = 216,889.82/x
  3. Step 3: Cross multiply
    350,413.46x = 525,952.49 × 216,889.82
  4. Step 4: Simplify right side
    350,413.46x = 114,073,737,170.44
  5. Step 5: Solve for x
    x = 114,073,737,170.44/350,413.46
  6. Step 6: Final answer
    x = 325,540.40

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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.