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Finding the Fourth Proportional to 356,529.06, 491,947.74 and 203,497.38

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Solution

The fourth proportional to 356,529.06, 491,947.74 and 203,497.38 is: 280,790.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,529.06 : 491,947.74 = 203,497.38 : x
  2. Step 2: Convert to fraction form
    356,529.06/491,947.74 = 203,497.38/x
  3. Step 3: Cross multiply
    356,529.06x = 491,947.74 × 203,497.38
  4. Step 4: Simplify right side
    356,529.06x = 100,110,076,186.92
  5. Step 5: Solve for x
    x = 100,110,076,186.92/356,529.06
  6. Step 6: Final answer
    x = 280,790.79

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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.