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Finding the Fourth Proportional to 422,741.84, 583,383.74 and 231,756.57

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Solution

The fourth proportional to 422,741.84, 583,383.74 and 231,756.57 is: 319,824.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,741.84 : 583,383.74 = 231,756.57 : x
  2. Step 2: Convert to fraction form
    422,741.84/583,383.74 = 231,756.57/x
  3. Step 3: Cross multiply
    422,741.84x = 583,383.74 × 231,756.57
  4. Step 4: Simplify right side
    422,741.84x = 135,203,013,417.39
  5. Step 5: Solve for x
    x = 135,203,013,417.39/422,741.84
  6. Step 6: Final answer
    x = 319,824.07

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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.