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Finding the Fourth Proportional to 283,895.31, 424,957.23 and 209,099.91

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Solution

The fourth proportional to 283,895.31, 424,957.23 and 209,099.91 is: 312,997.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,895.31 : 424,957.23 = 209,099.91 : x
  2. Step 2: Convert to fraction form
    283,895.31/424,957.23 = 209,099.91/x
  3. Step 3: Cross multiply
    283,895.31x = 424,957.23 × 209,099.91
  4. Step 4: Simplify right side
    283,895.31x = 88,858,518,546.85
  5. Step 5: Solve for x
    x = 88,858,518,546.85/283,895.31
  6. Step 6: Final answer
    x = 312,997.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.