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Finding the Fourth Proportional to 589,486.16, 813,490.76 and 321,214.16

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Solution

The fourth proportional to 589,486.16, 813,490.76 and 321,214.16 is: 443,275.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,486.16 : 813,490.76 = 321,214.16 : x
  2. Step 2: Convert to fraction form
    589,486.16/813,490.76 = 321,214.16/x
  3. Step 3: Cross multiply
    589,486.16x = 813,490.76 × 321,214.16
  4. Step 4: Simplify right side
    589,486.16x = 261,304,751,141.16
  5. Step 5: Solve for x
    x = 261,304,751,141.16/589,486.16
  6. Step 6: Final answer
    x = 443,275.46

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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.