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Finding the Fourth Proportional to 416,932.40, 624,961.20 and 164,115.20

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Solution

The fourth proportional to 416,932.40, 624,961.20 and 164,115.20 is: 246,000.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,932.40 : 624,961.20 = 164,115.20 : x
  2. Step 2: Convert to fraction form
    416,932.40/624,961.20 = 164,115.20/x
  3. Step 3: Cross multiply
    416,932.40x = 624,961.20 × 164,115.20
  4. Step 4: Simplify right side
    416,932.40x = 102,565,632,330.24
  5. Step 5: Solve for x
    x = 102,565,632,330.24/416,932.40
  6. Step 6: Final answer
    x = 246,000.63

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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.