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Finding the Fourth Proportional to 823,564.34, 1,233,737.64 and 567,351.71

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Solution

The fourth proportional to 823,564.34, 1,233,737.64 and 567,351.71 is: 849,919.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,564.34 : 1,233,737.64 = 567,351.71 : x
  2. Step 2: Convert to fraction form
    823,564.34/1,233,737.64 = 567,351.71/x
  3. Step 3: Cross multiply
    823,564.34x = 1,233,737.64 × 567,351.71
  4. Step 4: Simplify right side
    823,564.34x = 699,963,159,745.36
  5. Step 5: Solve for x
    x = 699,963,159,745.36/823,564.34
  6. Step 6: Final answer
    x = 849,919.22

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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.