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Finding the Fourth Proportional to 265,511.80, 397,830.30 and 226,145.80

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Solution

The fourth proportional to 265,511.80, 397,830.30 and 226,145.80 is: 338,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,511.80 : 397,830.30 = 226,145.80 : x
  2. Step 2: Convert to fraction form
    265,511.80/397,830.30 = 226,145.80/x
  3. Step 3: Cross multiply
    265,511.80x = 397,830.30 × 226,145.80
  4. Step 4: Simplify right side
    265,511.80x = 89,967,651,457.74
  5. Step 5: Solve for x
    x = 89,967,651,457.74/265,511.80
  6. Step 6: Final answer
    x = 338,846.15

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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.