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Finding the Fourth Proportional to 362,135.31, 499,746.69 and 200,990.31

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Solution

The fourth proportional to 362,135.31, 499,746.69 and 200,990.31 is: 277,366.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,135.31 : 499,746.69 = 200,990.31 : x
  2. Step 2: Convert to fraction form
    362,135.31/499,746.69 = 200,990.31/x
  3. Step 3: Cross multiply
    362,135.31x = 499,746.69 × 200,990.31
  4. Step 4: Simplify right side
    362,135.31x = 100,444,242,144.57
  5. Step 5: Solve for x
    x = 100,444,242,144.57/362,135.31
  6. Step 6: Final answer
    x = 277,366.61

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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.