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Finding the Fourth Proportional to 356,951.34, 492,524.62 and 204,037.98

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Solution

The fourth proportional to 356,951.34, 492,524.62 and 204,037.98 is: 281,533.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,951.34 : 492,524.62 = 204,037.98 : x
  2. Step 2: Convert to fraction form
    356,951.34/492,524.62 = 204,037.98/x
  3. Step 3: Cross multiply
    356,951.34x = 492,524.62 × 204,037.98
  4. Step 4: Simplify right side
    356,951.34x = 100,493,728,565.07
  5. Step 5: Solve for x
    x = 100,493,728,565.07/356,951.34
  6. Step 6: Final answer
    x = 281,533.41

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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.