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Finding the Fourth Proportional to 416,395.90, 624,500.37 and 191,540.38

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Solution

The fourth proportional to 416,395.90, 624,500.37 and 191,540.38 is: 287,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,395.90 : 624,500.37 = 191,540.38 : x
  2. Step 2: Convert to fraction form
    416,395.90/624,500.37 = 191,540.38/x
  3. Step 3: Cross multiply
    416,395.90x = 624,500.37 × 191,540.38
  4. Step 4: Simplify right side
    416,395.90x = 119,617,038,179.94
  5. Step 5: Solve for x
    x = 119,617,038,179.94/416,395.90
  6. Step 6: Final answer
    x = 287,267.57

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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.