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Finding the Fourth Proportional to 1,921,321.23, 2,882,978.75 and 856,115.54

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Solution

The fourth proportional to 1,921,321.23, 2,882,978.75 and 856,115.54 is: 1,284,617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921,321.23 : 2,882,978.75 = 856,115.54 : x
  2. Step 2: Convert to fraction form
    1,921,321.23/2,882,978.75 = 856,115.54/x
  3. Step 3: Cross multiply
    1,921,321.23x = 2,882,978.75 × 856,115.54
  4. Step 4: Simplify right side
    1,921,321.23x = 2,468,162,890,669.30
  5. Step 5: Solve for x
    x = 2,468,162,890,669.30/1,921,321.23
  6. Step 6: Final answer
    x = 1,284,617.51

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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.