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Finding the Fourth Proportional to 405,832.66, 560,049.72 and 224,552.22

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Solution

The fourth proportional to 405,832.66, 560,049.72 and 224,552.22 is: 309,882.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,832.66 : 560,049.72 = 224,552.22 : x
  2. Step 2: Convert to fraction form
    405,832.66/560,049.72 = 224,552.22/x
  3. Step 3: Cross multiply
    405,832.66x = 560,049.72 × 224,552.22
  4. Step 4: Simplify right side
    405,832.66x = 125,760,407,936.38
  5. Step 5: Solve for x
    x = 125,760,407,936.38/405,832.66
  6. Step 6: Final answer
    x = 309,882.42

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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.