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Finding the Fourth Proportional to 423,220.41, 584,051.31 and 232,251.57

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Solution

The fourth proportional to 423,220.41, 584,051.31 and 232,251.57 is: 320,511.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,220.41 : 584,051.31 = 232,251.57 : x
  2. Step 2: Convert to fraction form
    423,220.41/584,051.31 = 232,251.57/x
  3. Step 3: Cross multiply
    423,220.41x = 584,051.31 × 232,251.57
  4. Step 4: Simplify right side
    423,220.41x = 135,646,833,708.06
  5. Step 5: Solve for x
    x = 135,646,833,708.06/423,220.41
  6. Step 6: Final answer
    x = 320,511.09

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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.