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Finding the Fourth Proportional to 334,991.36, 462,100.96 and 205,840.12

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Solution

The fourth proportional to 334,991.36, 462,100.96 and 205,840.12 is: 283,944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,991.36 : 462,100.96 = 205,840.12 : x
  2. Step 2: Convert to fraction form
    334,991.36/462,100.96 = 205,840.12/x
  3. Step 3: Cross multiply
    334,991.36x = 462,100.96 × 205,840.12
  4. Step 4: Simplify right side
    334,991.36x = 95,118,917,058.52
  5. Step 5: Solve for x
    x = 95,118,917,058.52/334,991.36
  6. Step 6: Final answer
    x = 283,944.39

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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.