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Finding the Fourth Proportional to 349,456.94, 523,801.84 and 199,369.92

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Solution

The fourth proportional to 349,456.94, 523,801.84 and 199,369.92 is: 298,836.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,456.94 : 523,801.84 = 199,369.92 : x
  2. Step 2: Convert to fraction form
    349,456.94/523,801.84 = 199,369.92/x
  3. Step 3: Cross multiply
    349,456.94x = 523,801.84 × 199,369.92
  4. Step 4: Simplify right side
    349,456.94x = 104,430,330,936.65
  5. Step 5: Solve for x
    x = 104,430,330,936.65/349,456.94
  6. Step 6: Final answer
    x = 298,836.05

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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.