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Finding the Fourth Proportional to 416,624.94, 624,969.80 and 136,170.54

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Solution

The fourth proportional to 416,624.94, 624,969.80 and 136,170.54 is: 204,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,624.94 : 624,969.80 = 136,170.54 : x
  2. Step 2: Convert to fraction form
    416,624.94/624,969.80 = 136,170.54/x
  3. Step 3: Cross multiply
    416,624.94x = 624,969.80 × 136,170.54
  4. Step 4: Simplify right side
    416,624.94x = 85,102,475,149.69
  5. Step 5: Solve for x
    x = 85,102,475,149.69/416,624.94
  6. Step 6: Final answer
    x = 204,266.40

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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.