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Finding the Fourth Proportional to 416,109.93, 624,165 and 100,566.81

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Solution

The fourth proportional to 416,109.93, 624,165 and 100,566.81 is: 150,850.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,109.93 : 624,165 = 100,566.81 : x
  2. Step 2: Convert to fraction form
    416,109.93/624,165 = 100,566.81/x
  3. Step 3: Cross multiply
    416,109.93x = 624,165 × 100,566.81
  4. Step 4: Simplify right side
    416,109.93x = 62,770,282,963.65
  5. Step 5: Solve for x
    x = 62,770,282,963.65/416,109.93
  6. Step 6: Final answer
    x = 150,850.24

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1.5x scale

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.