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Finding the Fourth Proportional to 561,822.14, 844,560.14 and 450,717.82

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Solution

The fourth proportional to 561,822.14, 844,560.14 and 450,717.82 is: 677,542.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,822.14 : 844,560.14 = 450,717.82 : x
  2. Step 2: Convert to fraction form
    561,822.14/844,560.14 = 450,717.82/x
  3. Step 3: Cross multiply
    561,822.14x = 844,560.14 × 450,717.82
  4. Step 4: Simplify right side
    561,822.14x = 380,658,300,794.71
  5. Step 5: Solve for x
    x = 380,658,300,794.71/561,822.14
  6. Step 6: Final answer
    x = 677,542.36

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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.