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Finding the Fourth Proportional to 384,104.65, 575,664.90 and 341,786.20

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Solution

The fourth proportional to 384,104.65, 575,664.90 and 341,786.20 is: 512,241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,104.65 : 575,664.90 = 341,786.20 : x
  2. Step 2: Convert to fraction form
    384,104.65/575,664.90 = 341,786.20/x
  3. Step 3: Cross multiply
    384,104.65x = 575,664.90 × 341,786.20
  4. Step 4: Simplify right side
    384,104.65x = 196,754,318,644.38
  5. Step 5: Solve for x
    x = 196,754,318,644.38/384,104.65
  6. Step 6: Final answer
    x = 512,241.44

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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.