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Finding the Fourth Proportional to 327,644.63, 491,466.51 and 103,024.71

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Solution

The fourth proportional to 327,644.63, 491,466.51 and 103,024.71 is: 154,536.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,644.63 : 491,466.51 = 103,024.71 : x
  2. Step 2: Convert to fraction form
    327,644.63/491,466.51 = 103,024.71/x
  3. Step 3: Cross multiply
    327,644.63x = 491,466.51 × 103,024.71
  4. Step 4: Simplify right side
    327,644.63x = 50,633,194,667.46
  5. Step 5: Solve for x
    x = 50,633,194,667.46/327,644.63
  6. Step 6: Final answer
    x = 154,536.93

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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.