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Finding the Fourth Proportional to 422,936.31, 583,598.11 and 241,659.97

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Solution

The fourth proportional to 422,936.31, 583,598.11 and 241,659.97 is: 333,459.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,936.31 : 583,598.11 = 241,659.97 : x
  2. Step 2: Convert to fraction form
    422,936.31/583,598.11 = 241,659.97/x
  3. Step 3: Cross multiply
    422,936.31x = 583,598.11 × 241,659.97
  4. Step 4: Simplify right side
    422,936.31x = 141,032,301,754.66
  5. Step 5: Solve for x
    x = 141,032,301,754.66/422,936.31
  6. Step 6: Final answer
    x = 333,459.91

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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.