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Finding the Fourth Proportional to 497,413.40, 746,120.10 and 347,822.60

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Solution

The fourth proportional to 497,413.40, 746,120.10 and 347,822.60 is: 521,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,413.40 : 746,120.10 = 347,822.60 : x
  2. Step 2: Convert to fraction form
    497,413.40/746,120.10 = 347,822.60/x
  3. Step 3: Cross multiply
    497,413.40x = 746,120.10 × 347,822.60
  4. Step 4: Simplify right side
    497,413.40x = 259,517,433,094.26
  5. Step 5: Solve for x
    x = 259,517,433,094.26/497,413.40
  6. Step 6: Final answer
    x = 521,733.90

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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.