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Finding the Fourth Proportional to 362,606.42, 543,912.86 and 149,323.70

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Solution

The fourth proportional to 362,606.42, 543,912.86 and 149,323.70 is: 223,986.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,606.42 : 543,912.86 = 149,323.70 : x
  2. Step 2: Convert to fraction form
    362,606.42/543,912.86 = 149,323.70/x
  3. Step 3: Cross multiply
    362,606.42x = 543,912.86 × 149,323.70
  4. Step 4: Simplify right side
    362,606.42x = 81,219,078,386.53
  5. Step 5: Solve for x
    x = 81,219,078,386.53/362,606.42
  6. Step 6: Final answer
    x = 223,986.88

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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.