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Finding the Fourth Proportional to 422,984.49, 583,756.02 and 232,035.09

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Solution

The fourth proportional to 422,984.49, 583,756.02 and 232,035.09 is: 320,228.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,984.49 : 583,756.02 = 232,035.09 : x
  2. Step 2: Convert to fraction form
    422,984.49/583,756.02 = 232,035.09/x
  3. Step 3: Cross multiply
    422,984.49x = 583,756.02 × 232,035.09
  4. Step 4: Simplify right side
    422,984.49x = 135,451,880,638.74
  5. Step 5: Solve for x
    x = 135,451,880,638.74/422,984.49
  6. Step 6: Final answer
    x = 320,228.95

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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.