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Finding the Fourth Proportional to 362,704.84, 543,692.30 and 149,628.16

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Solution

The fourth proportional to 362,704.84, 543,692.30 and 149,628.16 is: 224,291.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,704.84 : 543,692.30 = 149,628.16 : x
  2. Step 2: Convert to fraction form
    362,704.84/543,692.30 = 149,628.16/x
  3. Step 3: Cross multiply
    362,704.84x = 543,692.30 × 149,628.16
  4. Step 4: Simplify right side
    362,704.84x = 81,351,679,228.30
  5. Step 5: Solve for x
    x = 81,351,679,228.30/362,704.84
  6. Step 6: Final answer
    x = 224,291.69

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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.