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Finding the Fourth Proportional to 293,006.40, 439,855.20 and 166,747.20

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Solution

The fourth proportional to 293,006.40, 439,855.20 and 166,747.20 is: 250,317.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,006.40 : 439,855.20 = 166,747.20 : x
  2. Step 2: Convert to fraction form
    293,006.40/439,855.20 = 166,747.20/x
  3. Step 3: Cross multiply
    293,006.40x = 439,855.20 × 166,747.20
  4. Step 4: Simplify right side
    293,006.40x = 73,344,623,005.44
  5. Step 5: Solve for x
    x = 73,344,623,005.44/293,006.40
  6. Step 6: Final answer
    x = 250,317.48

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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.