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Finding the Fourth Proportional to 504,588, 756,882 and 205,231.44

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Solution

The fourth proportional to 504,588, 756,882 and 205,231.44 is: 307,847.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,588 : 756,882 = 205,231.44 : x
  2. Step 2: Convert to fraction form
    504,588/756,882 = 205,231.44/x
  3. Step 3: Cross multiply
    504,588x = 756,882 × 205,231.44
  4. Step 4: Simplify right side
    504,588x = 155,335,982,770.08
  5. Step 5: Solve for x
    x = 155,335,982,770.08/504,588
  6. Step 6: Final answer
    x = 307,847.16

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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.