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Finding the Fourth Proportional to 524,229.30, 786,509.01 and 187,262.55

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Solution

The fourth proportional to 524,229.30, 786,509.01 and 187,262.55 is: 280,952.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,229.30 : 786,509.01 = 187,262.55 : x
  2. Step 2: Convert to fraction form
    524,229.30/786,509.01 = 187,262.55/x
  3. Step 3: Cross multiply
    524,229.30x = 786,509.01 × 187,262.55
  4. Step 4: Simplify right side
    524,229.30x = 147,283,682,810.58
  5. Step 5: Solve for x
    x = 147,283,682,810.58/524,229.30
  6. Step 6: Final answer
    x = 280,952.79

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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.