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Finding the Fourth Proportional to 564,183.87, 778,573.74 and 322,471.64

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Solution

The fourth proportional to 564,183.87, 778,573.74 and 322,471.64 is: 445,010.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,183.87 : 778,573.74 = 322,471.64 : x
  2. Step 2: Convert to fraction form
    564,183.87/778,573.74 = 322,471.64/x
  3. Step 3: Cross multiply
    564,183.87x = 778,573.74 × 322,471.64
  4. Step 4: Simplify right side
    564,183.87x = 251,067,949,574.96
  5. Step 5: Solve for x
    x = 251,067,949,574.96/564,183.87
  6. Step 6: Final answer
    x = 445,010.86

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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.