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Finding the Fourth Proportional to 431,231.20, 646,846.80 and 413,029.60

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Solution

The fourth proportional to 431,231.20, 646,846.80 and 413,029.60 is: 619,544.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,231.20 : 646,846.80 = 413,029.60 : x
  2. Step 2: Convert to fraction form
    431,231.20/646,846.80 = 413,029.60/x
  3. Step 3: Cross multiply
    431,231.20x = 646,846.80 × 413,029.60
  4. Step 4: Simplify right side
    431,231.20x = 267,166,875,065.28
  5. Step 5: Solve for x
    x = 267,166,875,065.28/431,231.20
  6. Step 6: Final answer
    x = 619,544.40

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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.