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Finding the Fourth Proportional to 276,021.30, 413,157.15 and 276,021.30

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Solution

The fourth proportional to 276,021.30, 413,157.15 and 276,021.30 is: 413,157.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,021.30 : 413,157.15 = 276,021.30 : x
  2. Step 2: Convert to fraction form
    276,021.30/413,157.15 = 276,021.30/x
  3. Step 3: Cross multiply
    276,021.30x = 413,157.15 × 276,021.30
  4. Step 4: Simplify right side
    276,021.30x = 114,040,173,647.30
  5. Step 5: Solve for x
    x = 114,040,173,647.30/276,021.30
  6. Step 6: Final answer
    x = 413,157.15

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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.