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Finding the Fourth Proportional to 417,517.91, 626,235.32 and 192,875.13

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Solution

The fourth proportional to 417,517.91, 626,235.32 and 192,875.13 is: 289,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,517.91 : 626,235.32 = 192,875.13 : x
  2. Step 2: Convert to fraction form
    417,517.91/626,235.32 = 192,875.13/x
  3. Step 3: Cross multiply
    417,517.91x = 626,235.32 × 192,875.13
  4. Step 4: Simplify right side
    417,517.91x = 120,785,217,791.22
  5. Step 5: Solve for x
    x = 120,785,217,791.22/417,517.91
  6. Step 6: Final answer
    x = 289,293.50

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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.