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Finding the Fourth Proportional to 368,005.82, 507,850.83 and 204,664.61

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Solution

The fourth proportional to 368,005.82, 507,850.83 and 204,664.61 is: 282,438.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,005.82 : 507,850.83 = 204,664.61 : x
  2. Step 2: Convert to fraction form
    368,005.82/507,850.83 = 204,664.61/x
  3. Step 3: Cross multiply
    368,005.82x = 507,850.83 × 204,664.61
  4. Step 4: Simplify right side
    368,005.82x = 103,939,090,473.09
  5. Step 5: Solve for x
    x = 103,939,090,473.09/368,005.82
  6. Step 6: Final answer
    x = 282,438.72

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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.