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Finding the Fourth Proportional to 411,672.07, 617,506.66 and 270,408.79

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Solution

The fourth proportional to 411,672.07, 617,506.66 and 270,408.79 is: 405,612.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,672.07 : 617,506.66 = 270,408.79 : x
  2. Step 2: Convert to fraction form
    411,672.07/617,506.66 = 270,408.79/x
  3. Step 3: Cross multiply
    411,672.07x = 617,506.66 × 270,408.79
  4. Step 4: Simplify right side
    411,672.07x = 166,979,228,747.54
  5. Step 5: Solve for x
    x = 166,979,228,747.54/411,672.07
  6. Step 6: Final answer
    x = 405,612.24

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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.