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Finding the Fourth Proportional to 405,923.28, 560,175.22 and 224,647.71

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Solution

The fourth proportional to 405,923.28, 560,175.22 and 224,647.71 is: 310,014.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,923.28 : 560,175.22 = 224,647.71 : x
  2. Step 2: Convert to fraction form
    405,923.28/560,175.22 = 224,647.71/x
  3. Step 3: Cross multiply
    405,923.28x = 560,175.22 × 224,647.71
  4. Step 4: Simplify right side
    405,923.28x = 125,842,081,910.78
  5. Step 5: Solve for x
    x = 125,842,081,910.78/405,923.28
  6. Step 6: Final answer
    x = 310,014.45

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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.