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Finding the Fourth Proportional to 335,118.70, 462,309.66 and 296,917.24

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Solution

The fourth proportional to 335,118.70, 462,309.66 and 296,917.24 is: 409,609.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,118.70 : 462,309.66 = 296,917.24 : x
  2. Step 2: Convert to fraction form
    335,118.70/462,309.66 = 296,917.24/x
  3. Step 3: Cross multiply
    335,118.70x = 462,309.66 × 296,917.24
  4. Step 4: Simplify right side
    335,118.70x = 137,267,708,272.54
  5. Step 5: Solve for x
    x = 137,267,708,272.54/335,118.70
  6. Step 6: Final answer
    x = 409,609.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.