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Finding the Fourth Proportional to 524,092.16, 786,179.28 and 187,205.60

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Solution

The fourth proportional to 524,092.16, 786,179.28 and 187,205.60 is: 280,823.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,092.16 : 786,179.28 = 187,205.60 : x
  2. Step 2: Convert to fraction form
    524,092.16/786,179.28 = 187,205.60/x
  3. Step 3: Cross multiply
    524,092.16x = 786,179.28 × 187,205.60
  4. Step 4: Simplify right side
    524,092.16x = 147,177,163,819.97
  5. Step 5: Solve for x
    x = 147,177,163,819.97/524,092.16
  6. Step 6: Final answer
    x = 280,823.06

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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.