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Finding the Fourth Proportional to 335,166.70, 462,375.93 and 296,965.21

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Solution

The fourth proportional to 335,166.70, 462,375.93 and 296,965.21 is: 409,675.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,166.70 : 462,375.93 = 296,965.21 : x
  2. Step 2: Convert to fraction form
    335,166.70/462,375.93 = 296,965.21/x
  3. Step 3: Cross multiply
    335,166.70x = 462,375.93 × 296,965.21
  4. Step 4: Simplify right side
    335,166.70x = 137,309,565,151.40
  5. Step 5: Solve for x
    x = 137,309,565,151.40/335,166.70
  6. Step 6: Final answer
    x = 409,675.44

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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.