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Finding the Fourth Proportional to 524,085.16, 786,168.78 and 187,198.60

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Solution

The fourth proportional to 524,085.16, 786,168.78 and 187,198.60 is: 280,812.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,085.16 : 786,168.78 = 187,198.60 : x
  2. Step 2: Convert to fraction form
    524,085.16/786,168.78 = 187,198.60/x
  3. Step 3: Cross multiply
    524,085.16x = 786,168.78 × 187,198.60
  4. Step 4: Simplify right side
    524,085.16x = 147,169,694,979.71
  5. Step 5: Solve for x
    x = 147,169,694,979.71/524,085.16
  6. Step 6: Final answer
    x = 280,812.56

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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.