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Finding the Fourth Proportional to 411,003.72, 616,523.81 and 158,193.81

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Solution

The fourth proportional to 411,003.72, 616,523.81 and 158,193.81 is: 237,297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,003.72 : 616,523.81 = 158,193.81 : x
  2. Step 2: Convert to fraction form
    411,003.72/616,523.81 = 158,193.81/x
  3. Step 3: Cross multiply
    411,003.72x = 616,523.81 × 158,193.81
  4. Step 4: Simplify right side
    411,003.72x = 97,530,249,668.65
  5. Step 5: Solve for x
    x = 97,530,249,668.65/411,003.72
  6. Step 6: Final answer
    x = 237,297.73

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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.