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Finding the Fourth Proportional to 280,056.20, 419,306.70 and 272,280.20

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Solution

The fourth proportional to 280,056.20, 419,306.70 and 272,280.20 is: 407,664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,056.20 : 419,306.70 = 272,280.20 : x
  2. Step 2: Convert to fraction form
    280,056.20/419,306.70 = 272,280.20/x
  3. Step 3: Cross multiply
    280,056.20x = 419,306.70 × 272,280.20
  4. Step 4: Simplify right side
    280,056.20x = 114,168,912,137.34
  5. Step 5: Solve for x
    x = 114,168,912,137.34/280,056.20
  6. Step 6: Final answer
    x = 407,664.29

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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.