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Finding the Fourth Proportional to 589,854.42, 813,991.36 and 331,731.31

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Solution

The fourth proportional to 589,854.42, 813,991.36 and 331,731.31 is: 457,784.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,854.42 : 813,991.36 = 331,731.31 : x
  2. Step 2: Convert to fraction form
    589,854.42/813,991.36 = 331,731.31/x
  3. Step 3: Cross multiply
    589,854.42x = 813,991.36 × 331,731.31
  4. Step 4: Simplify right side
    589,854.42x = 270,026,420,181.48
  5. Step 5: Solve for x
    x = 270,026,420,181.48/589,854.42
  6. Step 6: Final answer
    x = 457,784.86

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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.