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Finding the Fourth Proportional to 422,970.58, 583,715.77 and 231,992.02

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Solution

The fourth proportional to 422,970.58, 583,715.77 and 231,992.02 is: 320,157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,970.58 : 583,715.77 = 231,992.02 : x
  2. Step 2: Convert to fraction form
    422,970.58/583,715.77 = 231,992.02/x
  3. Step 3: Cross multiply
    422,970.58x = 583,715.77 × 231,992.02
  4. Step 4: Simplify right side
    422,970.58x = 135,417,400,588.16
  5. Step 5: Solve for x
    x = 135,417,400,588.16/422,970.58
  6. Step 6: Final answer
    x = 320,157.97

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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.