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Finding the Fourth Proportional to 422,737.86, 583,370.73 and 231,752.82

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Solution

The fourth proportional to 422,737.86, 583,370.73 and 231,752.82 is: 319,814.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,737.86 : 583,370.73 = 231,752.82 : x
  2. Step 2: Convert to fraction form
    422,737.86/583,370.73 = 231,752.82/x
  3. Step 3: Cross multiply
    422,737.86x = 583,370.73 × 231,752.82
  4. Step 4: Simplify right side
    422,737.86x = 135,197,811,782.96
  5. Step 5: Solve for x
    x = 135,197,811,782.96/422,737.86
  6. Step 6: Final answer
    x = 319,814.77

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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.