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Finding the Fourth Proportional to 464,286.54, 639,083.34 and 406,790.31

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Solution

The fourth proportional to 464,286.54, 639,083.34 and 406,790.31 is: 559,940.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,286.54 : 639,083.34 = 406,790.31 : x
  2. Step 2: Convert to fraction form
    464,286.54/639,083.34 = 406,790.31/x
  3. Step 3: Cross multiply
    464,286.54x = 639,083.34 × 406,790.31
  4. Step 4: Simplify right side
    464,286.54x = 259,972,909,994.44
  5. Step 5: Solve for x
    x = 259,972,909,994.44/464,286.54
  6. Step 6: Final answer
    x = 559,940.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.