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Finding the Fourth Proportional to 654,176.31, 902,631 and 382,191.68

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Solution

The fourth proportional to 654,176.31, 902,631 and 382,191.68 is: 527,347.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,176.31 : 902,631 = 382,191.68 : x
  2. Step 2: Convert to fraction form
    654,176.31/902,631 = 382,191.68/x
  3. Step 3: Cross multiply
    654,176.31x = 902,631 × 382,191.68
  4. Step 4: Simplify right side
    654,176.31x = 344,978,058,310.08
  5. Step 5: Solve for x
    x = 344,978,058,310.08/654,176.31
  6. Step 6: Final answer
    x = 527,347.22

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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.