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Finding the Fourth Proportional to 524,093.16, 786,180.78 and 187,206.60

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Solution

The fourth proportional to 524,093.16, 786,180.78 and 187,206.60 is: 280,824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,093.16 : 786,180.78 = 187,206.60 : x
  2. Step 2: Convert to fraction form
    524,093.16/786,180.78 = 187,206.60/x
  3. Step 3: Cross multiply
    524,093.16x = 786,180.78 × 187,206.60
  4. Step 4: Simplify right side
    524,093.16x = 147,178,230,809.15
  5. Step 5: Solve for x
    x = 147,178,230,809.15/524,093.16
  6. Step 6: Final answer
    x = 280,824.56

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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.