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Finding the Fourth Proportional to 297,227.12, 410,202.24 and 169,878.48

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Solution

The fourth proportional to 297,227.12, 410,202.24 and 169,878.48 is: 234,448.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,227.12 : 410,202.24 = 169,878.48 : x
  2. Step 2: Convert to fraction form
    297,227.12/410,202.24 = 169,878.48/x
  3. Step 3: Cross multiply
    297,227.12x = 410,202.24 × 169,878.48
  4. Step 4: Simplify right side
    297,227.12x = 69,684,533,023.80
  5. Step 5: Solve for x
    x = 69,684,533,023.80/297,227.12
  6. Step 6: Final answer
    x = 234,448.77

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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.