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Finding the Fourth Proportional to 500,161.22, 690,544.50 and 446,353.82

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Solution

The fourth proportional to 500,161.22, 690,544.50 and 446,353.82 is: 616,255.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,161.22 : 690,544.50 = 446,353.82 : x
  2. Step 2: Convert to fraction form
    500,161.22/690,544.50 = 446,353.82/x
  3. Step 3: Cross multiply
    500,161.22x = 690,544.50 × 446,353.82
  4. Step 4: Simplify right side
    500,161.22x = 308,227,175,454.99
  5. Step 5: Solve for x
    x = 308,227,175,454.99/500,161.22
  6. Step 6: Final answer
    x = 616,255.65

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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.