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Finding the Fourth Proportional to 641,987.10, 962,978.37 and 192,706.02

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Solution

The fourth proportional to 641,987.10, 962,978.37 and 192,706.02 is: 289,058.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,987.10 : 962,978.37 = 192,706.02 : x
  2. Step 2: Convert to fraction form
    641,987.10/962,978.37 = 192,706.02/x
  3. Step 3: Cross multiply
    641,987.10x = 962,978.37 × 192,706.02
  4. Step 4: Simplify right side
    641,987.10x = 185,571,729,028.79
  5. Step 5: Solve for x
    x = 185,571,729,028.79/641,987.10
  6. Step 6: Final answer
    x = 289,058.35

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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.