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Finding the Fourth Proportional to 1,413,669.52, 1,950,819.44 and 769,073.28

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Solution

The fourth proportional to 1,413,669.52, 1,950,819.44 and 769,073.28 is: 1,061,296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413,669.52 : 1,950,819.44 = 769,073.28 : x
  2. Step 2: Convert to fraction form
    1,413,669.52/1,950,819.44 = 769,073.28/x
  3. Step 3: Cross multiply
    1,413,669.52x = 1,950,819.44 × 769,073.28
  4. Step 4: Simplify right side
    1,413,669.52x = 1,500,323,105,408.56
  5. Step 5: Solve for x
    x = 1,500,323,105,408.56/1,413,669.52
  6. Step 6: Final answer
    x = 1,061,296.92

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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.