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Finding the Fourth Proportional to 297,309.40, 410,287.22 and 161,343.34

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Solution

The fourth proportional to 297,309.40, 410,287.22 and 161,343.34 is: 222,653.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,309.40 : 410,287.22 = 161,343.34 : x
  2. Step 2: Convert to fraction form
    297,309.40/410,287.22 = 161,343.34/x
  3. Step 3: Cross multiply
    297,309.40x = 410,287.22 × 161,343.34
  4. Step 4: Simplify right side
    297,309.40x = 66,197,110,434.11
  5. Step 5: Solve for x
    x = 66,197,110,434.11/297,309.40
  6. Step 6: Final answer
    x = 222,653.94

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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.