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Finding the Fourth Proportional to 431,967.46, 647,907.44 and 116,456.26

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Solution

The fourth proportional to 431,967.46, 647,907.44 and 116,456.26 is: 174,672.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,967.46 : 647,907.44 = 116,456.26 : x
  2. Step 2: Convert to fraction form
    431,967.46/647,907.44 = 116,456.26/x
  3. Step 3: Cross multiply
    431,967.46x = 647,907.44 × 116,456.26
  4. Step 4: Simplify right side
    431,967.46x = 75,452,873,466.76
  5. Step 5: Solve for x
    x = 75,452,873,466.76/431,967.46
  6. Step 6: Final answer
    x = 174,672.59

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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.