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Finding the Fourth Proportional to 297,469.88, 410,506.14 and 161,501.13

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Solution

The fourth proportional to 297,469.88, 410,506.14 and 161,501.13 is: 222,870.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,469.88 : 410,506.14 = 161,501.13 : x
  2. Step 2: Convert to fraction form
    297,469.88/410,506.14 = 161,501.13/x
  3. Step 3: Cross multiply
    297,469.88x = 410,506.14 × 161,501.13
  4. Step 4: Simplify right side
    297,469.88x = 66,297,205,481.94
  5. Step 5: Solve for x
    x = 66,297,205,481.94/297,469.88
  6. Step 6: Final answer
    x = 222,870.32

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1.5x scale

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.