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Finding the Fourth Proportional to 362,264.88, 543,212.80 and 212,797.20

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Solution

The fourth proportional to 362,264.88, 543,212.80 and 212,797.20 is: 319,087.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,264.88 : 543,212.80 = 212,797.20 : x
  2. Step 2: Convert to fraction form
    362,264.88/543,212.80 = 212,797.20/x
  3. Step 3: Cross multiply
    362,264.88x = 543,212.80 × 212,797.20
  4. Step 4: Simplify right side
    362,264.88x = 115,594,162,844.16
  5. Step 5: Solve for x
    x = 115,594,162,844.16/362,264.88
  6. Step 6: Final answer
    x = 319,087.41

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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.