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Finding the Fourth Proportional to 546,942.30, 820,413.45 and 347,487.90

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Solution

The fourth proportional to 546,942.30, 820,413.45 and 347,487.90 is: 521,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,942.30 : 820,413.45 = 347,487.90 : x
  2. Step 2: Convert to fraction form
    546,942.30/820,413.45 = 347,487.90/x
  3. Step 3: Cross multiply
    546,942.30x = 820,413.45 × 347,487.90
  4. Step 4: Simplify right side
    546,942.30x = 285,083,746,872.26
  5. Step 5: Solve for x
    x = 285,083,746,872.26/546,942.30
  6. Step 6: Final answer
    x = 521,231.85

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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.