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Finding the Fourth Proportional to 641,379.30, 962,400.90 and 465,339.30

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Solution

The fourth proportional to 641,379.30, 962,400.90 and 465,339.30 is: 698,249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,379.30 : 962,400.90 = 465,339.30 : x
  2. Step 2: Convert to fraction form
    641,379.30/962,400.90 = 465,339.30/x
  3. Step 3: Cross multiply
    641,379.30x = 962,400.90 × 465,339.30
  4. Step 4: Simplify right side
    641,379.30x = 447,842,961,125.37
  5. Step 5: Solve for x
    x = 447,842,961,125.37/641,379.30
  6. Step 6: Final answer
    x = 698,249.79

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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.