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Finding the Fourth Proportional to 411,053.38, 616,580.86 and 158,452.82

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Solution

The fourth proportional to 411,053.38, 616,580.86 and 158,452.82 is: 237,679.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,053.38 : 616,580.86 = 158,452.82 : x
  2. Step 2: Convert to fraction form
    411,053.38/616,580.86 = 158,452.82/x
  3. Step 3: Cross multiply
    411,053.38x = 616,580.86 × 158,452.82
  4. Step 4: Simplify right side
    411,053.38x = 97,698,977,962.61
  5. Step 5: Solve for x
    x = 97,698,977,962.61/411,053.38
  6. Step 6: Final answer
    x = 237,679.54

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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.