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Finding the Fourth Proportional to 524,886.72, 787,136.46 and 187,836

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Solution

The fourth proportional to 524,886.72, 787,136.46 and 187,836 is: 281,684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,886.72 : 787,136.46 = 187,836 : x
  2. Step 2: Convert to fraction form
    524,886.72/787,136.46 = 187,836/x
  3. Step 3: Cross multiply
    524,886.72x = 787,136.46 × 187,836
  4. Step 4: Simplify right side
    524,886.72x = 147,852,564,100.56
  5. Step 5: Solve for x
    x = 147,852,564,100.56/524,886.72
  6. Step 6: Final answer
    x = 281,684.71

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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.