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Finding the Fourth Proportional to 524,059.53, 786,255.45 and 187,092.96

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Solution

The fourth proportional to 524,059.53, 786,255.45 and 187,092.96 is: 280,698.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,059.53 : 786,255.45 = 187,092.96 : x
  2. Step 2: Convert to fraction form
    524,059.53/786,255.45 = 187,092.96/x
  3. Step 3: Cross multiply
    524,059.53x = 786,255.45 × 187,092.96
  4. Step 4: Simplify right side
    524,059.53x = 147,102,859,456.63
  5. Step 5: Solve for x
    x = 147,102,859,456.63/524,059.53
  6. Step 6: Final answer
    x = 280,698.76

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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.