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Finding the Fourth Proportional to 431,967.33, 647,907.25 and 116,456.13

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Solution

The fourth proportional to 431,967.33, 647,907.25 and 116,456.13 is: 174,672.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,967.33 : 647,907.25 = 116,456.13 : x
  2. Step 2: Convert to fraction form
    431,967.33/647,907.25 = 116,456.13/x
  3. Step 3: Cross multiply
    431,967.33x = 647,907.25 × 116,456.13
  4. Step 4: Simplify right side
    431,967.33x = 75,452,770,642.80
  5. Step 5: Solve for x
    x = 75,452,770,642.80/431,967.33
  6. Step 6: Final answer
    x = 174,672.40

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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.