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Finding the Fourth Proportional to 431,608.30, 647,599.02 and 231,695.23

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Solution

The fourth proportional to 431,608.30, 647,599.02 and 231,695.23 is: 347,643.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,608.30 : 647,599.02 = 231,695.23 : x
  2. Step 2: Convert to fraction form
    431,608.30/647,599.02 = 231,695.23/x
  3. Step 3: Cross multiply
    431,608.30x = 647,599.02 × 231,695.23
  4. Step 4: Simplify right side
    431,608.30x = 150,045,603,886.68
  5. Step 5: Solve for x
    x = 150,045,603,886.68/431,608.30
  6. Step 6: Final answer
    x = 347,643.00

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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.