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Finding the Fourth Proportional to 362,847.20, 543,614.70 and 310,359.20

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Solution

The fourth proportional to 362,847.20, 543,614.70 and 310,359.20 is: 464,977.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,847.20 : 543,614.70 = 310,359.20 : x
  2. Step 2: Convert to fraction form
    362,847.20/543,614.70 = 310,359.20/x
  3. Step 3: Cross multiply
    362,847.20x = 543,614.70 × 310,359.20
  4. Step 4: Simplify right side
    362,847.20x = 168,715,823,400.24
  5. Step 5: Solve for x
    x = 168,715,823,400.24/362,847.20
  6. Step 6: Final answer
    x = 464,977.61

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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.