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Finding the Fourth Proportional to 431,833.73, 647,833.61 and 165,573.47

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Solution

The fourth proportional to 431,833.73, 647,833.61 and 165,573.47 is: 248,392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,833.73 : 647,833.61 = 165,573.47 : x
  2. Step 2: Convert to fraction form
    431,833.73/647,833.61 = 165,573.47/x
  3. Step 3: Cross multiply
    431,833.73x = 647,833.61 × 165,573.47
  4. Step 4: Simplify right side
    431,833.73x = 107,264,060,823.84
  5. Step 5: Solve for x
    x = 107,264,060,823.84/431,833.73
  6. Step 6: Final answer
    x = 248,392.04

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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.