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Finding the Fourth Proportional to 362,408.30, 543,612.45 and 96,209.90

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Solution

The fourth proportional to 362,408.30, 543,612.45 and 96,209.90 is: 144,314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,408.30 : 543,612.45 = 96,209.90 : x
  2. Step 2: Convert to fraction form
    362,408.30/543,612.45 = 96,209.90/x
  3. Step 3: Cross multiply
    362,408.30x = 543,612.45 × 96,209.90
  4. Step 4: Simplify right side
    362,408.30x = 52,300,899,453.26
  5. Step 5: Solve for x
    x = 52,300,899,453.26/362,408.30
  6. Step 6: Final answer
    x = 144,314.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.