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Finding the Fourth Proportional to 356,956.41, 492,595.25 and 203,992.85

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Solution

The fourth proportional to 356,956.41, 492,595.25 and 203,992.85 is: 281,507.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,956.41 : 492,595.25 = 203,992.85 : x
  2. Step 2: Convert to fraction form
    356,956.41/492,595.25 = 203,992.85/x
  3. Step 3: Cross multiply
    356,956.41x = 492,595.25 × 203,992.85
  4. Step 4: Simplify right side
    356,956.41x = 100,485,905,461.02
  5. Step 5: Solve for x
    x = 100,485,905,461.02/356,956.41
  6. Step 6: Final answer
    x = 281,507.50

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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.