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Finding the Fourth Proportional to 464,906.20, 697,359.30 and 405,857.20

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Solution

The fourth proportional to 464,906.20, 697,359.30 and 405,857.20 is: 608,785.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,906.20 : 697,359.30 = 405,857.20 : x
  2. Step 2: Convert to fraction form
    464,906.20/697,359.30 = 405,857.20/x
  3. Step 3: Cross multiply
    464,906.20x = 697,359.30 × 405,857.20
  4. Step 4: Simplify right side
    464,906.20x = 283,028,292,891.96
  5. Step 5: Solve for x
    x = 283,028,292,891.96/464,906.20
  6. Step 6: Final answer
    x = 608,785.80

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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.