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Finding the Fourth Proportional to 522,136.56, 720,563.13 and 295,782.06

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Solution

The fourth proportional to 522,136.56, 720,563.13 and 295,782.06 is: 408,187.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,136.56 : 720,563.13 = 295,782.06 : x
  2. Step 2: Convert to fraction form
    522,136.56/720,563.13 = 295,782.06/x
  3. Step 3: Cross multiply
    522,136.56x = 720,563.13 × 295,782.06
  4. Step 4: Simplify right side
    522,136.56x = 213,129,646,951.45
  5. Step 5: Solve for x
    x = 213,129,646,951.45/522,136.56
  6. Step 6: Final answer
    x = 408,187.56

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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.