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Finding the Fourth Proportional to 422,998.61, 583,734.90 and 232,010.63

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Solution

The fourth proportional to 422,998.61, 583,734.90 and 232,010.63 is: 320,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,998.61 : 583,734.90 = 232,010.63 : x
  2. Step 2: Convert to fraction form
    422,998.61/583,734.90 = 232,010.63/x
  3. Step 3: Cross multiply
    422,998.61x = 583,734.90 × 232,010.63
  4. Step 4: Simplify right side
    422,998.61x = 135,432,702,042.36
  5. Step 5: Solve for x
    x = 135,432,702,042.36/422,998.61
  6. Step 6: Final answer
    x = 320,172.93

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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.