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Finding the Fourth Proportional to 465,697.76, 697,962.25 and 199,144.81

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Solution

The fourth proportional to 465,697.76, 697,962.25 and 199,144.81 is: 298,467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,697.76 : 697,962.25 = 199,144.81 : x
  2. Step 2: Convert to fraction form
    465,697.76/697,962.25 = 199,144.81/x
  3. Step 3: Cross multiply
    465,697.76x = 697,962.25 × 199,144.81
  4. Step 4: Simplify right side
    465,697.76x = 138,995,560,784.81
  5. Step 5: Solve for x
    x = 138,995,560,784.81/465,697.76
  6. Step 6: Final answer
    x = 298,467.32

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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.