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Finding the Fourth Proportional to 405,138.96, 559,096.07 and 223,846.38

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Solution

The fourth proportional to 405,138.96, 559,096.07 and 223,846.38 is: 308,910.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,138.96 : 559,096.07 = 223,846.38 : x
  2. Step 2: Convert to fraction form
    405,138.96/559,096.07 = 223,846.38/x
  3. Step 3: Cross multiply
    405,138.96x = 559,096.07 × 223,846.38
  4. Step 4: Simplify right side
    405,138.96x = 125,151,630,222.50
  5. Step 5: Solve for x
    x = 125,151,630,222.50/405,138.96
  6. Step 6: Final answer
    x = 308,910.38

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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.