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Finding the Fourth Proportional to 416,232.20, 624,284.94 and 135,749

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Solution

The fourth proportional to 416,232.20, 624,284.94 and 135,749 is: 203,602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,232.20 : 624,284.94 = 135,749 : x
  2. Step 2: Convert to fraction form
    416,232.20/624,284.94 = 135,749/x
  3. Step 3: Cross multiply
    416,232.20x = 624,284.94 × 135,749
  4. Step 4: Simplify right side
    416,232.20x = 84,746,056,320.06
  5. Step 5: Solve for x
    x = 84,746,056,320.06/416,232.20
  6. Step 6: Final answer
    x = 203,602.84

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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.