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Finding the Fourth Proportional to 431,967.58, 647,907.62 and 116,456.38

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Solution

The fourth proportional to 431,967.58, 647,907.62 and 116,456.38 is: 174,672.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,967.58 : 647,907.62 = 116,456.38 : x
  2. Step 2: Convert to fraction form
    431,967.58/647,907.62 = 116,456.38/x
  3. Step 3: Cross multiply
    431,967.58x = 647,907.62 × 116,456.38
  4. Step 4: Simplify right side
    431,967.58x = 75,452,975,999.62
  5. Step 5: Solve for x
    x = 75,452,975,999.62/431,967.58
  6. Step 6: Final answer
    x = 174,672.78

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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.