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Finding the Fourth Proportional to 411,387.22, 616,791.04 and 158,455.80

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Solution

The fourth proportional to 411,387.22, 616,791.04 and 158,455.80 is: 237,572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,387.22 : 616,791.04 = 158,455.80 : x
  2. Step 2: Convert to fraction form
    411,387.22/616,791.04 = 158,455.80/x
  3. Step 3: Cross multiply
    411,387.22x = 616,791.04 × 158,455.80
  4. Step 4: Simplify right side
    411,387.22x = 97,734,117,676.03
  5. Step 5: Solve for x
    x = 97,734,117,676.03/411,387.22
  6. Step 6: Final answer
    x = 237,572.08

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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.