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Finding the Fourth Proportional to 405,906.29, 560,142.26 and 224,618.11

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Solution

The fourth proportional to 405,906.29, 560,142.26 and 224,618.11 is: 309,968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,906.29 : 560,142.26 = 224,618.11 : x
  2. Step 2: Convert to fraction form
    405,906.29/560,142.26 = 224,618.11/x
  3. Step 3: Cross multiply
    405,906.29x = 560,142.26 × 224,618.11
  4. Step 4: Simplify right side
    405,906.29x = 125,818,097,873.74
  5. Step 5: Solve for x
    x = 125,818,097,873.74/405,906.29
  6. Step 6: Final answer
    x = 309,968.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.