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Finding the Fourth Proportional to 465,396.28, 642,229.80 and 284,411.20

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Solution

The fourth proportional to 465,396.28, 642,229.80 and 284,411.20 is: 392,477.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,396.28 : 642,229.80 = 284,411.20 : x
  2. Step 2: Convert to fraction form
    465,396.28/642,229.80 = 284,411.20/x
  3. Step 3: Cross multiply
    465,396.28x = 642,229.80 × 284,411.20
  4. Step 4: Simplify right side
    465,396.28x = 182,657,348,093.76
  5. Step 5: Solve for x
    x = 182,657,348,093.76/465,396.28
  6. Step 6: Final answer
    x = 392,477.03

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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.