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Finding the Fourth Proportional to 423,816.62, 584,867.15 and 232,842.31

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Solution

The fourth proportional to 423,816.62, 584,867.15 and 232,842.31 is: 321,322.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,816.62 : 584,867.15 = 232,842.31 : x
  2. Step 2: Convert to fraction form
    423,816.62/584,867.15 = 232,842.31/x
  3. Step 3: Cross multiply
    423,816.62x = 584,867.15 × 232,842.31
  4. Step 4: Simplify right side
    423,816.62x = 136,181,816,495.90
  5. Step 5: Solve for x
    x = 136,181,816,495.90/423,816.62
  6. Step 6: Final answer
    x = 321,322.51

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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.