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Finding the Fourth Proportional to 531,083.77, 796,993.56 and 211,202.86

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Solution

The fourth proportional to 531,083.77, 796,993.56 and 211,202.86 is: 316,950.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,083.77 : 796,993.56 = 211,202.86 : x
  2. Step 2: Convert to fraction form
    531,083.77/796,993.56 = 211,202.86/x
  3. Step 3: Cross multiply
    531,083.77x = 796,993.56 × 211,202.86
  4. Step 4: Simplify right side
    531,083.77x = 168,327,322,358.20
  5. Step 5: Solve for x
    x = 168,327,322,358.20/531,083.77
  6. Step 6: Final answer
    x = 316,950.60

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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.