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Finding the Fourth Proportional to 297,382.51, 410,388.26 and 161,416.48

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Solution

The fourth proportional to 297,382.51, 410,388.26 and 161,416.48 is: 222,754.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,382.51 : 410,388.26 = 161,416.48 : x
  2. Step 2: Convert to fraction form
    297,382.51/410,388.26 = 161,416.48/x
  3. Step 3: Cross multiply
    297,382.51x = 410,388.26 × 161,416.48
  4. Step 4: Simplify right side
    297,382.51x = 66,243,428,362.52
  5. Step 5: Solve for x
    x = 66,243,428,362.52/297,382.51
  6. Step 6: Final answer
    x = 222,754.96

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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.