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Finding the Fourth Proportional to 411,490.88, 616,675.89 and 231,662.07

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Solution

The fourth proportional to 411,490.88, 616,675.89 and 231,662.07 is: 347,177.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,490.88 : 616,675.89 = 231,662.07 : x
  2. Step 2: Convert to fraction form
    411,490.88/616,675.89 = 231,662.07/x
  3. Step 3: Cross multiply
    411,490.88x = 616,675.89 × 231,662.07
  4. Step 4: Simplify right side
    411,490.88x = 142,860,413,196.49
  5. Step 5: Solve for x
    x = 142,860,413,196.49/411,490.88
  6. Step 6: Final answer
    x = 347,177.60

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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.