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Finding the Fourth Proportional to 297,391.50, 410,395.41 and 170,062.74

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Solution

The fourth proportional to 297,391.50, 410,395.41 and 170,062.74 is: 234,683.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,391.50 : 410,395.41 = 170,062.74 : x
  2. Step 2: Convert to fraction form
    297,391.50/410,395.41 = 170,062.74/x
  3. Step 3: Cross multiply
    297,391.50x = 410,395.41 × 170,062.74
  4. Step 4: Simplify right side
    297,391.50x = 69,792,967,908.02
  5. Step 5: Solve for x
    x = 69,792,967,908.02/297,391.50
  6. Step 6: Final answer
    x = 234,683.80

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Why These Related Problems?

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