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Finding the Fourth Proportional to 465,418.88, 698,232 and 254,948.48

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Solution

The fourth proportional to 465,418.88, 698,232 and 254,948.48 is: 382,479.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,418.88 : 698,232 = 254,948.48 : x
  2. Step 2: Convert to fraction form
    465,418.88/698,232 = 254,948.48/x
  3. Step 3: Cross multiply
    465,418.88x = 698,232 × 254,948.48
  4. Step 4: Simplify right side
    465,418.88x = 178,013,187,087.36
  5. Step 5: Solve for x
    x = 178,013,187,087.36/465,418.88
  6. Step 6: Final answer
    x = 382,479.51

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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.