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Finding the Fourth Proportional to 297,309.60, 410,288.34 and 161,343.51

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Solution

The fourth proportional to 297,309.60, 410,288.34 and 161,343.51 is: 222,654.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,309.60 : 410,288.34 = 161,343.51 : x
  2. Step 2: Convert to fraction form
    297,309.60/410,288.34 = 161,343.51/x
  3. Step 3: Cross multiply
    297,309.60x = 410,288.34 × 161,343.51
  4. Step 4: Simplify right side
    297,309.60x = 66,197,360,887.67
  5. Step 5: Solve for x
    x = 66,197,360,887.67/297,309.60
  6. Step 6: Final answer
    x = 222,654.64

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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.