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Finding the Fourth Proportional to 335,005.70, 462,120.73 and 205,854.44

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Solution

The fourth proportional to 335,005.70, 462,120.73 and 205,854.44 is: 283,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,005.70 : 462,120.73 = 205,854.44 : x
  2. Step 2: Convert to fraction form
    335,005.70/462,120.73 = 205,854.44/x
  3. Step 3: Cross multiply
    335,005.70x = 462,120.73 × 205,854.44
  4. Step 4: Simplify right side
    335,005.70x = 95,129,601,261.30
  5. Step 5: Solve for x
    x = 95,129,601,261.30/335,005.70
  6. Step 6: Final answer
    x = 283,964.13

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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.