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Finding the Fourth Proportional to 407,125.44, 609,244.20 and 264,882.96

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Solution

The fourth proportional to 407,125.44, 609,244.20 and 264,882.96 is: 396,384.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,125.44 : 609,244.20 = 264,882.96 : x
  2. Step 2: Convert to fraction form
    407,125.44/609,244.20 = 264,882.96/x
  3. Step 3: Cross multiply
    407,125.44x = 609,244.20 × 264,882.96
  4. Step 4: Simplify right side
    407,125.44x = 161,378,407,058.83
  5. Step 5: Solve for x
    x = 161,378,407,058.83/407,125.44
  6. Step 6: Final answer
    x = 396,384.97

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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.