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Finding the Fourth Proportional to 404,796.70, 607,583.85 and 205,342.30

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Solution

The fourth proportional to 404,796.70, 607,583.85 and 205,342.30 is: 308,210.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,796.70 : 607,583.85 = 205,342.30 : x
  2. Step 2: Convert to fraction form
    404,796.70/607,583.85 = 205,342.30/x
  3. Step 3: Cross multiply
    404,796.70x = 607,583.85 × 205,342.30
  4. Step 4: Simplify right side
    404,796.70x = 124,762,665,201.86
  5. Step 5: Solve for x
    x = 124,762,665,201.86/404,796.70
  6. Step 6: Final answer
    x = 308,210.68

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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.