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Finding the Fourth Proportional to 503,365.72, 755,179.26 and 187,825

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Solution

The fourth proportional to 503,365.72, 755,179.26 and 187,825 is: 281,786.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,365.72 : 755,179.26 = 187,825 : x
  2. Step 2: Convert to fraction form
    503,365.72/755,179.26 = 187,825/x
  3. Step 3: Cross multiply
    503,365.72x = 755,179.26 × 187,825
  4. Step 4: Simplify right side
    503,365.72x = 141,841,544,509.50
  5. Step 5: Solve for x
    x = 141,841,544,509.50/503,365.72
  6. Step 6: Final answer
    x = 281,786.26

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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.