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Finding the Fourth Proportional to 423,365.67, 584,251.65 and 232,396.83

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Solution

The fourth proportional to 423,365.67, 584,251.65 and 232,396.83 is: 320,711.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,365.67 : 584,251.65 = 232,396.83 : x
  2. Step 2: Convert to fraction form
    423,365.67/584,251.65 = 232,396.83/x
  3. Step 3: Cross multiply
    423,365.67x = 584,251.65 × 232,396.83
  4. Step 4: Simplify right side
    423,365.67x = 135,778,231,382.27
  5. Step 5: Solve for x
    x = 135,778,231,382.27/423,365.67
  6. Step 6: Final answer
    x = 320,711.48

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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.