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Finding the Fourth Proportional to 362,584.80, 543,809.16 and 152,224.56

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Solution

The fourth proportional to 362,584.80, 543,809.16 and 152,224.56 is: 228,308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,584.80 : 543,809.16 = 152,224.56 : x
  2. Step 2: Convert to fraction form
    362,584.80/543,809.16 = 152,224.56/x
  3. Step 3: Cross multiply
    362,584.80x = 543,809.16 × 152,224.56
  4. Step 4: Simplify right side
    362,584.80x = 82,781,110,104.97
  5. Step 5: Solve for x
    x = 82,781,110,104.97/362,584.80
  6. Step 6: Final answer
    x = 228,308.27

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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.