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Finding the Fourth Proportional to 465,269.37, 642,142.40 and 284,086.95

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Solution

The fourth proportional to 465,269.37, 642,142.40 and 284,086.95 is: 392,083.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,269.37 : 642,142.40 = 284,086.95 : x
  2. Step 2: Convert to fraction form
    465,269.37/642,142.40 = 284,086.95/x
  3. Step 3: Cross multiply
    465,269.37x = 642,142.40 × 284,086.95
  4. Step 4: Simplify right side
    465,269.37x = 182,424,275,881.68
  5. Step 5: Solve for x
    x = 182,424,275,881.68/465,269.37
  6. Step 6: Final answer
    x = 392,083.14

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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.