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Finding the Fourth Proportional to 366,964.30, 550,154.85 and 200,752.30

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Solution

The fourth proportional to 366,964.30, 550,154.85 and 200,752.30 is: 300,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,964.30 : 550,154.85 = 200,752.30 : x
  2. Step 2: Convert to fraction form
    366,964.30/550,154.85 = 200,752.30/x
  3. Step 3: Cross multiply
    366,964.30x = 550,154.85 × 200,752.30
  4. Step 4: Simplify right side
    366,964.30x = 110,444,851,493.66
  5. Step 5: Solve for x
    x = 110,444,851,493.66/366,964.30
  6. Step 6: Final answer
    x = 300,968.93

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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.