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Finding the Fourth Proportional to 335,169.70, 462,380.07 and 296,968.21

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Solution

The fourth proportional to 335,169.70, 462,380.07 and 296,968.21 is: 409,679.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,169.70 : 462,380.07 = 296,968.21 : x
  2. Step 2: Convert to fraction form
    335,169.70/462,380.07 = 296,968.21/x
  3. Step 3: Cross multiply
    335,169.70x = 462,380.07 × 296,968.21
  4. Step 4: Simplify right side
    335,169.70x = 137,312,181,727.58
  5. Step 5: Solve for x
    x = 137,312,181,727.58/335,169.70
  6. Step 6: Final answer
    x = 409,679.58

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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.