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Finding the Fourth Proportional to 431,610.30, 647,602.02 and 231,697.23

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Solution

The fourth proportional to 431,610.30, 647,602.02 and 231,697.23 is: 347,646.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,610.30 : 647,602.02 = 231,697.23 : x
  2. Step 2: Convert to fraction form
    431,610.30/647,602.02 = 231,697.23/x
  3. Step 3: Cross multiply
    431,610.30x = 647,602.02 × 231,697.23
  4. Step 4: Simplify right side
    431,610.30x = 150,047,594,176.41
  5. Step 5: Solve for x
    x = 150,047,594,176.41/431,610.30
  6. Step 6: Final answer
    x = 347,646.00

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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.