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Finding the Fourth Proportional to 566,892.66, 782,311.82 and 312,243.85

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Solution

The fourth proportional to 566,892.66, 782,311.82 and 312,243.85 is: 430,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,892.66 : 782,311.82 = 312,243.85 : x
  2. Step 2: Convert to fraction form
    566,892.66/782,311.82 = 312,243.85/x
  3. Step 3: Cross multiply
    566,892.66x = 782,311.82 × 312,243.85
  4. Step 4: Simplify right side
    566,892.66x = 244,272,049,104.53
  5. Step 5: Solve for x
    x = 244,272,049,104.53/566,892.66
  6. Step 6: Final answer
    x = 430,896.48

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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.