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Finding the Fourth Proportional to 417,343.23, 625,942.13 and 192,684.47

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Solution

The fourth proportional to 417,343.23, 625,942.13 and 192,684.47 is: 288,993.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,343.23 : 625,942.13 = 192,684.47 : x
  2. Step 2: Convert to fraction form
    417,343.23/625,942.13 = 192,684.47/x
  3. Step 3: Cross multiply
    417,343.23x = 625,942.13 × 192,684.47
  4. Step 4: Simplify right side
    417,343.23x = 120,609,323,476.59
  5. Step 5: Solve for x
    x = 120,609,323,476.59/417,343.23
  6. Step 6: Final answer
    x = 288,993.12

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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.