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Finding the Fourth Proportional to 405,929.60, 560,183.94 and 224,654.03

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Solution

The fourth proportional to 405,929.60, 560,183.94 and 224,654.03 is: 310,023.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,929.60 : 560,183.94 = 224,654.03 : x
  2. Step 2: Convert to fraction form
    405,929.60/560,183.94 = 224,654.03/x
  3. Step 3: Cross multiply
    405,929.60x = 560,183.94 × 224,654.03
  4. Step 4: Simplify right side
    405,929.60x = 125,847,579,662.28
  5. Step 5: Solve for x
    x = 125,847,579,662.28/405,929.60
  6. Step 6: Final answer
    x = 310,023.17

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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.