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Finding the Fourth Proportional to 589,431.25, 813,415.17 and 321,159.25

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Solution

The fourth proportional to 589,431.25, 813,415.17 and 321,159.25 is: 443,199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,431.25 : 813,415.17 = 321,159.25 : x
  2. Step 2: Convert to fraction form
    589,431.25/813,415.17 = 321,159.25/x
  3. Step 3: Cross multiply
    589,431.25x = 813,415.17 × 321,159.25
  4. Step 4: Simplify right side
    589,431.25x = 261,235,805,935.82
  5. Step 5: Solve for x
    x = 261,235,805,935.82/589,431.25
  6. Step 6: Final answer
    x = 443,199.79

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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.