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Finding the Fourth Proportional to 472,896.08, 709,665.42 and 192,464.36

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Solution

The fourth proportional to 472,896.08, 709,665.42 and 192,464.36 is: 288,827.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,896.08 : 709,665.42 = 192,464.36 : x
  2. Step 2: Convert to fraction form
    472,896.08/709,665.42 = 192,464.36/x
  3. Step 3: Cross multiply
    472,896.08x = 709,665.42 × 192,464.36
  4. Step 4: Simplify right side
    472,896.08x = 136,585,300,874.43
  5. Step 5: Solve for x
    x = 136,585,300,874.43/472,896.08
  6. Step 6: Final answer
    x = 288,827.31

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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.