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Finding the Fourth Proportional to 641,382.78, 962,406.17 and 465,342.78

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Solution

The fourth proportional to 641,382.78, 962,406.17 and 465,342.78 is: 698,255.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,382.78 : 962,406.17 = 465,342.78 : x
  2. Step 2: Convert to fraction form
    641,382.78/962,406.17 = 465,342.78/x
  3. Step 3: Cross multiply
    641,382.78x = 962,406.17 × 465,342.78
  4. Step 4: Simplify right side
    641,382.78x = 447,848,762,636.95
  5. Step 5: Solve for x
    x = 447,848,762,636.95/641,382.78
  6. Step 6: Final answer
    x = 698,255.05

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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.