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Finding the Fourth Proportional to 558,832, 838,268.40 and 199,029.35

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Solution

The fourth proportional to 558,832, 838,268.40 and 199,029.35 is: 298,551.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,832 : 838,268.40 = 199,029.35 : x
  2. Step 2: Convert to fraction form
    558,832/838,268.40 = 199,029.35/x
  3. Step 3: Cross multiply
    558,832x = 838,268.40 × 199,029.35
  4. Step 4: Simplify right side
    558,832x = 166,840,014,777.54
  5. Step 5: Solve for x
    x = 166,840,014,777.54/558,832
  6. Step 6: Final answer
    x = 298,551.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.