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Finding the Fourth Proportional to 416,561.94, 624,422.16 and 164,019.65

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Solution

The fourth proportional to 416,561.94, 624,422.16 and 164,019.65 is: 245,863.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,561.94 : 624,422.16 = 164,019.65 : x
  2. Step 2: Convert to fraction form
    416,561.94/624,422.16 = 164,019.65/x
  3. Step 3: Cross multiply
    416,561.94x = 624,422.16 × 164,019.65
  4. Step 4: Simplify right side
    416,561.94x = 102,417,501,013.33
  5. Step 5: Solve for x
    x = 102,417,501,013.33/416,561.94
  6. Step 6: Final answer
    x = 245,863.80

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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.