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Finding the Fourth Proportional to 405,942.58, 560,186.91 and 224,662.12

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Solution

The fourth proportional to 405,942.58, 560,186.91 and 224,662.12 is: 310,026.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,942.58 : 560,186.91 = 224,662.12 : x
  2. Step 2: Convert to fraction form
    405,942.58/560,186.91 = 224,662.12/x
  3. Step 3: Cross multiply
    405,942.58x = 560,186.91 × 224,662.12
  4. Step 4: Simplify right side
    405,942.58x = 125,852,778,796.85
  5. Step 5: Solve for x
    x = 125,852,778,796.85/405,942.58
  6. Step 6: Final answer
    x = 310,026.06

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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.