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Finding the Fourth Proportional to 465,885.28, 642,990.72 and 284,701.60

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Solution

The fourth proportional to 465,885.28, 642,990.72 and 284,701.60 is: 392,930.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,885.28 : 642,990.72 = 284,701.60 : x
  2. Step 2: Convert to fraction form
    465,885.28/642,990.72 = 284,701.60/x
  3. Step 3: Cross multiply
    465,885.28x = 642,990.72 × 284,701.60
  4. Step 4: Simplify right side
    465,885.28x = 183,060,486,769.15
  5. Step 5: Solve for x
    x = 183,060,486,769.15/465,885.28
  6. Step 6: Final answer
    x = 392,930.39

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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.