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Finding the Fourth Proportional to 417,516.78, 626,233.62 and 192,874.00

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Solution

The fourth proportional to 417,516.78, 626,233.62 and 192,874.00 is: 289,291.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,516.78 : 626,233.62 = 192,874.00 : x
  2. Step 2: Convert to fraction form
    417,516.78/626,233.62 = 192,874.00/x
  3. Step 3: Cross multiply
    417,516.78x = 626,233.62 × 192,874.00
  4. Step 4: Simplify right side
    417,516.78x = 120,784,182,381.57
  5. Step 5: Solve for x
    x = 120,784,182,381.57/417,516.78
  6. Step 6: Final answer
    x = 289,291.81

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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.