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Finding the Fourth Proportional to 524,713.41, 786,876.92 and 187,662.69

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Solution

The fourth proportional to 524,713.41, 786,876.92 and 187,662.69 is: 281,424.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,713.41 : 786,876.92 = 187,662.69 : x
  2. Step 2: Convert to fraction form
    524,713.41/786,876.92 = 187,662.69/x
  3. Step 3: Cross multiply
    524,713.41x = 786,876.92 × 187,662.69
  4. Step 4: Simplify right side
    524,713.41x = 147,667,438,567.80
  5. Step 5: Solve for x
    x = 147,667,438,567.80/524,713.41
  6. Step 6: Final answer
    x = 281,424.94

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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.