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Finding the Fourth Proportional to 362,581.76, 543,816.48 and 185,219.84

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Solution

The fourth proportional to 362,581.76, 543,816.48 and 185,219.84 is: 277,801.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,581.76 : 543,816.48 = 185,219.84 : x
  2. Step 2: Convert to fraction form
    362,581.76/543,816.48 = 185,219.84/x
  3. Step 3: Cross multiply
    362,581.76x = 543,816.48 × 185,219.84
  4. Step 4: Simplify right side
    362,581.76x = 100,725,601,414.96
  5. Step 5: Solve for x
    x = 100,725,601,414.96/362,581.76
  6. Step 6: Final answer
    x = 277,801.07

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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.