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Finding the Fourth Proportional to 416,018.88, 624,122.24 and 131,726.64

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Solution

The fourth proportional to 416,018.88, 624,122.24 and 131,726.64 is: 197,619.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,018.88 : 624,122.24 = 131,726.64 : x
  2. Step 2: Convert to fraction form
    416,018.88/624,122.24 = 131,726.64/x
  3. Step 3: Cross multiply
    416,018.88x = 624,122.24 × 131,726.64
  4. Step 4: Simplify right side
    416,018.88x = 82,213,525,624.47
  5. Step 5: Solve for x
    x = 82,213,525,624.47/416,018.88
  6. Step 6: Final answer
    x = 197,619.70

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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.