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Finding the Fourth Proportional to 431,805.60, 646,930.80 and 265,399.20

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Solution

The fourth proportional to 431,805.60, 646,930.80 and 265,399.20 is: 397,620.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,805.60 : 646,930.80 = 265,399.20 : x
  2. Step 2: Convert to fraction form
    431,805.60/646,930.80 = 265,399.20/x
  3. Step 3: Cross multiply
    431,805.60x = 646,930.80 × 265,399.20
  4. Step 4: Simplify right side
    431,805.60x = 171,694,916,775.36
  5. Step 5: Solve for x
    x = 171,694,916,775.36/431,805.60
  6. Step 6: Final answer
    x = 397,620.87

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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.