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Finding the Fourth Proportional to 431,668.08, 647,107.68 and 151,032.24

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Solution

The fourth proportional to 431,668.08, 647,107.68 and 151,032.24 is: 226,410.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,668.08 : 647,107.68 = 151,032.24 : x
  2. Step 2: Convert to fraction form
    431,668.08/647,107.68 = 151,032.24/x
  3. Step 3: Cross multiply
    431,668.08x = 647,107.68 × 151,032.24
  4. Step 4: Simplify right side
    431,668.08x = 97,734,122,431.60
  5. Step 5: Solve for x
    x = 97,734,122,431.60/431,668.08
  6. Step 6: Final answer
    x = 226,410.35

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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.