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Finding the Fourth Proportional to 276,815.10, 415,222.65 and 271,566.30

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Solution

The fourth proportional to 276,815.10, 415,222.65 and 271,566.30 is: 407,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,815.10 : 415,222.65 = 271,566.30 : x
  2. Step 2: Convert to fraction form
    276,815.10/415,222.65 = 271,566.30/x
  3. Step 3: Cross multiply
    276,815.10x = 415,222.65 × 271,566.30
  4. Step 4: Simplify right side
    276,815.10x = 112,760,478,736.70
  5. Step 5: Solve for x
    x = 112,760,478,736.70/276,815.10
  6. Step 6: Final answer
    x = 407,349.45

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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.