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Finding the Fourth Proportional to 362,591.76, 543,831.48 and 185,229.84

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Solution

The fourth proportional to 362,591.76, 543,831.48 and 185,229.84 is: 277,816.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,591.76 : 543,831.48 = 185,229.84 : x
  2. Step 2: Convert to fraction form
    362,591.76/543,831.48 = 185,229.84/x
  3. Step 3: Cross multiply
    362,591.76x = 543,831.48 × 185,229.84
  4. Step 4: Simplify right side
    362,591.76x = 100,733,818,027.36
  5. Step 5: Solve for x
    x = 100,733,818,027.36/362,591.76
  6. Step 6: Final answer
    x = 277,816.07

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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.