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Finding the Fourth Proportional to 512,678.64, 769,036.42 and 192,801.18

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Solution

The fourth proportional to 512,678.64, 769,036.42 and 192,801.18 is: 289,208.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,678.64 : 769,036.42 = 192,801.18 : x
  2. Step 2: Convert to fraction form
    512,678.64/769,036.42 = 192,801.18/x
  3. Step 3: Cross multiply
    512,678.64x = 769,036.42 × 192,801.18
  4. Step 4: Simplify right side
    512,678.64x = 148,271,129,238.98
  5. Step 5: Solve for x
    x = 148,271,129,238.98/512,678.64
  6. Step 6: Final answer
    x = 289,208.71

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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.