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Finding the Fourth Proportional to 407,167.23, 610,754.09 and 167,219.31

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Solution

The fourth proportional to 407,167.23, 610,754.09 and 167,219.31 is: 250,830.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,167.23 : 610,754.09 = 167,219.31 : x
  2. Step 2: Convert to fraction form
    407,167.23/610,754.09 = 167,219.31/x
  3. Step 3: Cross multiply
    407,167.23x = 610,754.09 × 167,219.31
  4. Step 4: Simplify right side
    407,167.23x = 102,129,876,673.38
  5. Step 5: Solve for x
    x = 102,129,876,673.38/407,167.23
  6. Step 6: Final answer
    x = 250,830.30

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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.