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Finding the Fourth Proportional to 329,172.07, 493,857.67 and 233,294.71

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Solution

The fourth proportional to 329,172.07, 493,857.67 and 233,294.71 is: 350,012.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,172.07 : 493,857.67 = 233,294.71 : x
  2. Step 2: Convert to fraction form
    329,172.07/493,857.67 = 233,294.71/x
  3. Step 3: Cross multiply
    329,172.07x = 493,857.67 × 233,294.71
  4. Step 4: Simplify right side
    329,172.07x = 115,214,381,958.93
  5. Step 5: Solve for x
    x = 115,214,381,958.93/329,172.07
  6. Step 6: Final answer
    x = 350,012.63

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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.