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Finding the Fourth Proportional to 463,469.20, 695,203.80 and 410,981.20

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Solution

The fourth proportional to 463,469.20, 695,203.80 and 410,981.20 is: 616,471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,469.20 : 695,203.80 = 410,981.20 : x
  2. Step 2: Convert to fraction form
    463,469.20/695,203.80 = 410,981.20/x
  3. Step 3: Cross multiply
    463,469.20x = 695,203.80 × 410,981.20
  4. Step 4: Simplify right side
    463,469.20x = 285,715,691,968.56
  5. Step 5: Solve for x
    x = 285,715,691,968.56/463,469.20
  6. Step 6: Final answer
    x = 616,471.80

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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.