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Finding the Fourth Proportional to 301,703.33, 416,292.62 and 204,983.87

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Solution

The fourth proportional to 301,703.33, 416,292.62 and 204,983.87 is: 282,838.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,703.33 : 416,292.62 = 204,983.87 : x
  2. Step 2: Convert to fraction form
    301,703.33/416,292.62 = 204,983.87/x
  3. Step 3: Cross multiply
    301,703.33x = 416,292.62 × 204,983.87
  4. Step 4: Simplify right side
    301,703.33x = 85,333,269,193.66
  5. Step 5: Solve for x
    x = 85,333,269,193.66/301,703.33
  6. Step 6: Final answer
    x = 282,838.34

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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.