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Finding the Fourth Proportional to 276,313.19, 414,469.76 and 76,633.57

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Solution

The fourth proportional to 276,313.19, 414,469.76 and 76,633.57 is: 114,950.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,313.19 : 414,469.76 = 76,633.57 : x
  2. Step 2: Convert to fraction form
    276,313.19/414,469.76 = 76,633.57/x
  3. Step 3: Cross multiply
    276,313.19x = 414,469.76 × 76,633.57
  4. Step 4: Simplify right side
    276,313.19x = 31,762,297,174.26
  5. Step 5: Solve for x
    x = 31,762,297,174.26/276,313.19
  6. Step 6: Final answer
    x = 114,950.35

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1.5x scale

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.