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Finding the Fourth Proportional to 422,894.72, 583,608.24 and 231,907.66

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Solution

The fourth proportional to 422,894.72, 583,608.24 and 231,907.66 is: 320,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,894.72 : 583,608.24 = 231,907.66 : x
  2. Step 2: Convert to fraction form
    422,894.72/583,608.24 = 231,907.66/x
  3. Step 3: Cross multiply
    422,894.72x = 583,608.24 × 231,907.66
  4. Step 4: Simplify right side
    422,894.72x = 135,343,219,836.10
  5. Step 5: Solve for x
    x = 135,343,219,836.10/422,894.72
  6. Step 6: Final answer
    x = 320,039.98

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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.