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Finding the Fourth Proportional to 343,251.92, 514,857.36 and 203,897.36

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Solution

The fourth proportional to 343,251.92, 514,857.36 and 203,897.36 is: 305,833.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,251.92 : 514,857.36 = 203,897.36 : x
  2. Step 2: Convert to fraction form
    343,251.92/514,857.36 = 203,897.36/x
  3. Step 3: Cross multiply
    343,251.92x = 514,857.36 × 203,897.36
  4. Step 4: Simplify right side
    343,251.92x = 104,978,056,480.57
  5. Step 5: Solve for x
    x = 104,978,056,480.57/343,251.92
  6. Step 6: Final answer
    x = 305,833.85

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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.