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Finding the Fourth Proportional to 276,269.70, 414,404.55 and 274,301.40

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Solution

The fourth proportional to 276,269.70, 414,404.55 and 274,301.40 is: 411,452.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,269.70 : 414,404.55 = 274,301.40 : x
  2. Step 2: Convert to fraction form
    276,269.70/414,404.55 = 274,301.40/x
  3. Step 3: Cross multiply
    276,269.70x = 414,404.55 × 274,301.40
  4. Step 4: Simplify right side
    276,269.70x = 113,671,748,231.37
  5. Step 5: Solve for x
    x = 113,671,748,231.37/276,269.70
  6. Step 6: Final answer
    x = 411,452.10

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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.