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Finding the Fourth Proportional to 422,994.96, 583,737.84 and 232,029.36

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Solution

The fourth proportional to 422,994.96, 583,737.84 and 232,029.36 is: 320,203.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,994.96 : 583,737.84 = 232,029.36 : x
  2. Step 2: Convert to fraction form
    422,994.96/583,737.84 = 232,029.36/x
  3. Step 3: Cross multiply
    422,994.96x = 583,737.84 × 232,029.36
  4. Step 4: Simplify right side
    422,994.96x = 135,444,317,422.98
  5. Step 5: Solve for x
    x = 135,444,317,422.98/422,994.96
  6. Step 6: Final answer
    x = 320,203.15

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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.