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Finding the Fourth Proportional to 362,717.20, 543,419.70 and 310,229.20

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Solution

The fourth proportional to 362,717.20, 543,419.70 and 310,229.20 is: 464,782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,717.20 : 543,419.70 = 310,229.20 : x
  2. Step 2: Convert to fraction form
    362,717.20/543,419.70 = 310,229.20/x
  3. Step 3: Cross multiply
    362,717.20x = 543,419.70 × 310,229.20
  4. Step 4: Simplify right side
    362,717.20x = 168,584,658,795.24
  5. Step 5: Solve for x
    x = 168,584,658,795.24/362,717.20
  6. Step 6: Final answer
    x = 464,782.64

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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.