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Finding the Fourth Proportional to 694,462.40, 1,040,138.40 and 414,526.40

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Solution

The fourth proportional to 694,462.40, 1,040,138.40 and 414,526.40 is: 620,861.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,462.40 : 1,040,138.40 = 414,526.40 : x
  2. Step 2: Convert to fraction form
    694,462.40/1,040,138.40 = 414,526.40/x
  3. Step 3: Cross multiply
    694,462.40x = 1,040,138.40 × 414,526.40
  4. Step 4: Simplify right side
    694,462.40x = 431,164,826,453.76
  5. Step 5: Solve for x
    x = 431,164,826,453.76/694,462.40
  6. Step 6: Final answer
    x = 620,861.30

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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.