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Finding the Fourth Proportional to 416,121.93, 624,299.54 and 166,978.89

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Solution

The fourth proportional to 416,121.93, 624,299.54 and 166,978.89 is: 250,515.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,121.93 : 624,299.54 = 166,978.89 : x
  2. Step 2: Convert to fraction form
    416,121.93/624,299.54 = 166,978.89/x
  3. Step 3: Cross multiply
    416,121.93x = 624,299.54 × 166,978.89
  4. Step 4: Simplify right side
    416,121.93x = 104,244,843,381.82
  5. Step 5: Solve for x
    x = 104,244,843,381.82/416,121.93
  6. Step 6: Final answer
    x = 250,515.14

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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.