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Finding the Fourth Proportional to 504,596.25, 756,894.38 and 205,239.69

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Solution

The fourth proportional to 504,596.25, 756,894.38 and 205,239.69 is: 307,859.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,596.25 : 756,894.38 = 205,239.69 : x
  2. Step 2: Convert to fraction form
    504,596.25/756,894.38 = 205,239.69/x
  3. Step 3: Cross multiply
    504,596.25x = 756,894.38 × 205,239.69
  4. Step 4: Simplify right side
    504,596.25x = 155,344,766,887.74
  5. Step 5: Solve for x
    x = 155,344,766,887.74/504,596.25
  6. Step 6: Final answer
    x = 307,859.54

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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.