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Finding the Fourth Proportional to 719,865, 993,413.78 and 418,078.44

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Solution

The fourth proportional to 719,865, 993,413.78 and 418,078.44 is: 576,948.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,865 : 993,413.78 = 418,078.44 : x
  2. Step 2: Convert to fraction form
    719,865/993,413.78 = 418,078.44/x
  3. Step 3: Cross multiply
    719,865x = 993,413.78 × 418,078.44
  4. Step 4: Simplify right side
    719,865x = 415,324,883,416.90
  5. Step 5: Solve for x
    x = 415,324,883,416.90/719,865
  6. Step 6: Final answer
    x = 576,948.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.