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Finding the Fourth Proportional to 276,021.40, 414,032.10 and 274,271.80

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Solution

The fourth proportional to 276,021.40, 414,032.10 and 274,271.80 is: 411,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,021.40 : 414,032.10 = 274,271.80 : x
  2. Step 2: Convert to fraction form
    276,021.40/414,032.10 = 274,271.80/x
  3. Step 3: Cross multiply
    276,021.40x = 414,032.10 × 274,271.80
  4. Step 4: Simplify right side
    276,021.40x = 113,557,329,324.78
  5. Step 5: Solve for x
    x = 113,557,329,324.78/276,021.40
  6. Step 6: Final answer
    x = 411,407.70

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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.