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Finding the Fourth Proportional to 1,829,340.25, 2,524,489.55 and 1,024,524.25

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Solution

The fourth proportional to 1,829,340.25, 2,524,489.55 and 1,024,524.25 is: 1,413,843.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829,340.25 : 2,524,489.55 = 1,024,524.25 : x
  2. Step 2: Convert to fraction form
    1,829,340.25/2,524,489.55 = 1,024,524.25/x
  3. Step 3: Cross multiply
    1,829,340.25x = 2,524,489.55 × 1,024,524.25
  4. Step 4: Simplify right side
    1,829,340.25x = 2,586,400,757,723.97
  5. Step 5: Solve for x
    x = 2,586,400,757,723.97/1,829,340.25
  6. Step 6: Final answer
    x = 1,413,843.47

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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.