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Finding the Fourth Proportional to 276,739.10, 414,452.55 and 276,739.10

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Solution

The fourth proportional to 276,739.10, 414,452.55 and 276,739.10 is: 414,452.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,739.10 : 414,452.55 = 276,739.10 : x
  2. Step 2: Convert to fraction form
    276,739.10/414,452.55 = 276,739.10/x
  3. Step 3: Cross multiply
    276,739.10x = 414,452.55 × 276,739.10
  4. Step 4: Simplify right side
    276,739.10x = 114,695,225,679.71
  5. Step 5: Solve for x
    x = 114,695,225,679.71/276,739.10
  6. Step 6: Final answer
    x = 414,452.55

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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.