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Finding the Fourth Proportional to 589,397.31, 813,388.23 and 331,319.16

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Solution

The fourth proportional to 589,397.31, 813,388.23 and 331,319.16 is: 457,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,397.31 : 813,388.23 = 331,319.16 : x
  2. Step 2: Convert to fraction form
    589,397.31/813,388.23 = 331,319.16/x
  3. Step 3: Cross multiply
    589,397.31x = 813,388.23 × 331,319.16
  4. Step 4: Simplify right side
    589,397.31x = 269,491,105,117.49
  5. Step 5: Solve for x
    x = 269,491,105,117.49/589,397.31
  6. Step 6: Final answer
    x = 457,231.65

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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.