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Finding the Fourth Proportional to 334,451.49, 461,687.01 and 205,410.87

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Solution

The fourth proportional to 334,451.49, 461,687.01 and 205,410.87 is: 283,555.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,451.49 : 461,687.01 = 205,410.87 : x
  2. Step 2: Convert to fraction form
    334,451.49/461,687.01 = 205,410.87/x
  3. Step 3: Cross multiply
    334,451.49x = 461,687.01 × 205,410.87
  4. Step 4: Simplify right side
    334,451.49x = 94,835,530,391.80
  5. Step 5: Solve for x
    x = 94,835,530,391.80/334,451.49
  6. Step 6: Final answer
    x = 283,555.41

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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.