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Finding the Fourth Proportional to 465,712.88, 698,840.38 and 195,821.48

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Solution

The fourth proportional to 465,712.88, 698,840.38 and 195,821.48 is: 293,846.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,712.88 : 698,840.38 = 195,821.48 : x
  2. Step 2: Convert to fraction form
    465,712.88/698,840.38 = 195,821.48/x
  3. Step 3: Cross multiply
    465,712.88x = 698,840.38 × 195,821.48
  4. Step 4: Simplify right side
    465,712.88x = 136,847,959,487.24
  5. Step 5: Solve for x
    x = 136,847,959,487.24/465,712.88
  6. Step 6: Final answer
    x = 293,846.20

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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.