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Finding the Fourth Proportional to 413,474.33, 619,817.77 and 132,794.75

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Solution

The fourth proportional to 413,474.33, 619,817.77 and 132,794.75 is: 199,065.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,474.33 : 619,817.77 = 132,794.75 : x
  2. Step 2: Convert to fraction form
    413,474.33/619,817.77 = 132,794.75/x
  3. Step 3: Cross multiply
    413,474.33x = 619,817.77 × 132,794.75
  4. Step 4: Simplify right side
    413,474.33x = 82,308,545,812.71
  5. Step 5: Solve for x
    x = 82,308,545,812.71/413,474.33
  6. Step 6: Final answer
    x = 199,065.67

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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.