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Finding the Fourth Proportional to 1,469,562, 2,027,856.85 and 824,856.27

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Solution

The fourth proportional to 1,469,562, 2,027,856.85 and 824,856.27 is: 1,138,223.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,562 : 2,027,856.85 = 824,856.27 : x
  2. Step 2: Convert to fraction form
    1,469,562/2,027,856.85 = 824,856.27/x
  3. Step 3: Cross multiply
    1,469,562x = 2,027,856.85 × 824,856.27
  4. Step 4: Simplify right side
    1,469,562x = 1,672,690,437,384.95
  5. Step 5: Solve for x
    x = 1,672,690,437,384.95/1,469,562
  6. Step 6: Final answer
    x = 1,138,223.80

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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.