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Finding the Fourth Proportional to 295,665.12, 408,018.24 and 161,529.12

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Solution

The fourth proportional to 295,665.12, 408,018.24 and 161,529.12 is: 222,910.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,665.12 : 408,018.24 = 161,529.12 : x
  2. Step 2: Convert to fraction form
    295,665.12/408,018.24 = 161,529.12/x
  3. Step 3: Cross multiply
    295,665.12x = 408,018.24 × 161,529.12
  4. Step 4: Simplify right side
    295,665.12x = 65,906,827,251.15
  5. Step 5: Solve for x
    x = 65,906,827,251.15/295,665.12
  6. Step 6: Final answer
    x = 222,910.39

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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.