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Finding the Fourth Proportional to 413,765.32, 620,920.14 and 226,908.04

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Solution

The fourth proportional to 413,765.32, 620,920.14 and 226,908.04 is: 340,511.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,765.32 : 620,920.14 = 226,908.04 : x
  2. Step 2: Convert to fraction form
    413,765.32/620,920.14 = 226,908.04/x
  3. Step 3: Cross multiply
    413,765.32x = 620,920.14 × 226,908.04
  4. Step 4: Simplify right side
    413,765.32x = 140,891,771,963.93
  5. Step 5: Solve for x
    x = 140,891,771,963.93/413,765.32
  6. Step 6: Final answer
    x = 340,511.31

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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.