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Finding the Fourth Proportional to 494,937.90, 742,406.85 and 411,993.90

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Solution

The fourth proportional to 494,937.90, 742,406.85 and 411,993.90 is: 617,990.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,937.90 : 742,406.85 = 411,993.90 : x
  2. Step 2: Convert to fraction form
    494,937.90/742,406.85 = 411,993.90/x
  3. Step 3: Cross multiply
    494,937.90x = 742,406.85 × 411,993.90
  4. Step 4: Simplify right side
    494,937.90x = 305,867,093,518.22
  5. Step 5: Solve for x
    x = 305,867,093,518.22/494,937.90
  6. Step 6: Final answer
    x = 617,990.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.