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Finding the Fourth Proportional to 557,136.30, 834,322.05 and 446,544.30

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Solution

The fourth proportional to 557,136.30, 834,322.05 and 446,544.30 is: 668,708.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,136.30 : 834,322.05 = 446,544.30 : x
  2. Step 2: Convert to fraction form
    557,136.30/834,322.05 = 446,544.30/x
  3. Step 3: Cross multiply
    557,136.30x = 834,322.05 × 446,544.30
  4. Step 4: Simplify right side
    557,136.30x = 372,561,755,791.82
  5. Step 5: Solve for x
    x = 372,561,755,791.82/557,136.30
  6. Step 6: Final answer
    x = 668,708.46

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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.