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Finding the Fourth Proportional to 368,006.97, 507,852.43 and 204,665.76

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Solution

The fourth proportional to 368,006.97, 507,852.43 and 204,665.76 is: 282,440.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,006.97 : 507,852.43 = 204,665.76 : x
  2. Step 2: Convert to fraction form
    368,006.97/507,852.43 = 204,665.76/x
  3. Step 3: Cross multiply
    368,006.97x = 507,852.43 × 204,665.76
  4. Step 4: Simplify right side
    368,006.97x = 103,940,003,553.80
  5. Step 5: Solve for x
    x = 103,940,003,553.80/368,006.97
  6. Step 6: Final answer
    x = 282,440.31

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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.