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Finding the Fourth Proportional to 264,518.40, 397,166.40 and 185,980.80

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Solution

The fourth proportional to 264,518.40, 397,166.40 and 185,980.80 is: 279,244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,518.40 : 397,166.40 = 185,980.80 : x
  2. Step 2: Convert to fraction form
    264,518.40/397,166.40 = 185,980.80/x
  3. Step 3: Cross multiply
    264,518.40x = 397,166.40 × 185,980.80
  4. Step 4: Simplify right side
    264,518.40x = 73,865,324,805.12
  5. Step 5: Solve for x
    x = 73,865,324,805.12/264,518.40
  6. Step 6: Final answer
    x = 279,244.56

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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.