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Finding the Fourth Proportional to 465,697.07, 697,961.22 and 199,144.16

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Solution

The fourth proportional to 465,697.07, 697,961.22 and 199,144.16 is: 298,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,697.07 : 697,961.22 = 199,144.16 : x
  2. Step 2: Convert to fraction form
    465,697.07/697,961.22 = 199,144.16/x
  3. Step 3: Cross multiply
    465,697.07x = 697,961.22 × 199,144.16
  4. Step 4: Simplify right side
    465,697.07x = 138,994,900,869.48
  5. Step 5: Solve for x
    x = 138,994,900,869.48/465,697.07
  6. Step 6: Final answer
    x = 298,466.34

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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.