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Finding the Fourth Proportional to 465,845.88, 698,950.26 and 185,391.48

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Solution

The fourth proportional to 465,845.88, 698,950.26 and 185,391.48 is: 278,159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,845.88 : 698,950.26 = 185,391.48 : x
  2. Step 2: Convert to fraction form
    465,845.88/698,950.26 = 185,391.48/x
  3. Step 3: Cross multiply
    465,845.88x = 698,950.26 × 185,391.48
  4. Step 4: Simplify right side
    465,845.88x = 129,579,423,147.79
  5. Step 5: Solve for x
    x = 129,579,423,147.79/465,845.88
  6. Step 6: Final answer
    x = 278,159.43

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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.