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Finding the Fourth Proportional to 362,408.80, 543,872.40 and 152,197.60

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Solution

The fourth proportional to 362,408.80, 543,872.40 and 152,197.60 is: 228,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,408.80 : 543,872.40 = 152,197.60 : x
  2. Step 2: Convert to fraction form
    362,408.80/543,872.40 = 152,197.60/x
  3. Step 3: Cross multiply
    362,408.80x = 543,872.40 × 152,197.60
  4. Step 4: Simplify right side
    362,408.80x = 82,776,073,986.24
  5. Step 5: Solve for x
    x = 82,776,073,986.24/362,408.80
  6. Step 6: Final answer
    x = 228,405.25

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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.