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Finding the Fourth Proportional to 368,035.92, 507,855.24 and 206,876.88

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Solution

The fourth proportional to 368,035.92, 507,855.24 and 206,876.88 is: 285,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,035.92 : 507,855.24 = 206,876.88 : x
  2. Step 2: Convert to fraction form
    368,035.92/507,855.24 = 206,876.88/x
  3. Step 3: Cross multiply
    368,035.92x = 507,855.24 × 206,876.88
  4. Step 4: Simplify right side
    368,035.92x = 105,063,507,542.85
  5. Step 5: Solve for x
    x = 105,063,507,542.85/368,035.92
  6. Step 6: Final answer
    x = 285,470.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.