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Finding the Fourth Proportional to 422,961.07, 583,689.15 and 231,975.82

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Solution

The fourth proportional to 422,961.07, 583,689.15 and 231,975.82 is: 320,128.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,961.07 : 583,689.15 = 231,975.82 : x
  2. Step 2: Convert to fraction form
    422,961.07/583,689.15 = 231,975.82/x
  3. Step 3: Cross multiply
    422,961.07x = 583,689.15 × 231,975.82
  4. Step 4: Simplify right side
    422,961.07x = 135,401,771,893.81
  5. Step 5: Solve for x
    x = 135,401,771,893.81/422,961.07
  6. Step 6: Final answer
    x = 320,128.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.