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Finding the Fourth Proportional to 366,784.66, 550,178.89 and 166,965.30

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Solution

The fourth proportional to 366,784.66, 550,178.89 and 166,965.30 is: 250,448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,784.66 : 550,178.89 = 166,965.30 : x
  2. Step 2: Convert to fraction form
    366,784.66/550,178.89 = 166,965.30/x
  3. Step 3: Cross multiply
    366,784.66x = 550,178.89 × 166,965.30
  4. Step 4: Simplify right side
    366,784.66x = 91,860,783,963.14
  5. Step 5: Solve for x
    x = 91,860,783,963.14/366,784.66
  6. Step 6: Final answer
    x = 250,448.82

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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.