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Finding the Fourth Proportional to 276,693.10, 415,039.65 and 271,444.30

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Solution

The fourth proportional to 276,693.10, 415,039.65 and 271,444.30 is: 407,166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,693.10 : 415,039.65 = 271,444.30 : x
  2. Step 2: Convert to fraction form
    276,693.10/415,039.65 = 271,444.30/x
  3. Step 3: Cross multiply
    276,693.10x = 415,039.65 × 271,444.30
  4. Step 4: Simplify right side
    276,693.10x = 112,660,147,266.50
  5. Step 5: Solve for x
    x = 112,660,147,266.50/276,693.10
  6. Step 6: Final answer
    x = 407,166.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.