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Finding the Fourth Proportional to 823,369, 1,136,249.22 and 446,537

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Solution

The fourth proportional to 823,369, 1,136,249.22 and 446,537 is: 616,221.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,369 : 1,136,249.22 = 446,537 : x
  2. Step 2: Convert to fraction form
    823,369/1,136,249.22 = 446,537/x
  3. Step 3: Cross multiply
    823,369x = 1,136,249.22 × 446,537
  4. Step 4: Simplify right side
    823,369x = 507,377,317,951.14
  5. Step 5: Solve for x
    x = 507,377,317,951.14/823,369
  6. Step 6: Final answer
    x = 616,221.06

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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.