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Finding the Fourth Proportional to 417,697.94, 626,446.56 and 192,842.36

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Solution

The fourth proportional to 417,697.94, 626,446.56 and 192,842.36 is: 289,217.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,697.94 : 626,446.56 = 192,842.36 : x
  2. Step 2: Convert to fraction form
    417,697.94/626,446.56 = 192,842.36/x
  3. Step 3: Cross multiply
    417,697.94x = 626,446.56 × 192,842.36
  4. Step 4: Simplify right side
    417,697.94x = 120,805,433,044.28
  5. Step 5: Solve for x
    x = 120,805,433,044.28/417,697.94
  6. Step 6: Final answer
    x = 289,217.21

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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.