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Finding the Fourth Proportional to 417,690.78, 626,435.81 and 192,835.25

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Solution

The fourth proportional to 417,690.78, 626,435.81 and 192,835.25 is: 289,206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,690.78 : 626,435.81 = 192,835.25 : x
  2. Step 2: Convert to fraction form
    417,690.78/626,435.81 = 192,835.25/x
  3. Step 3: Cross multiply
    417,690.78x = 626,435.81 × 192,835.25
  4. Step 4: Simplify right side
    417,690.78x = 120,798,905,006.21
  5. Step 5: Solve for x
    x = 120,798,905,006.21/417,690.78
  6. Step 6: Final answer
    x = 289,206.54

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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.