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Finding the Fourth Proportional to 405,571.50, 608,313.42 and 135,669.06

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Solution

The fourth proportional to 405,571.50, 608,313.42 and 135,669.06 is: 203,488.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,571.50 : 608,313.42 = 135,669.06 : x
  2. Step 2: Convert to fraction form
    405,571.50/608,313.42 = 135,669.06/x
  3. Step 3: Cross multiply
    405,571.50x = 608,313.42 × 135,669.06
  4. Step 4: Simplify right side
    405,571.50x = 82,529,309,876.79
  5. Step 5: Solve for x
    x = 82,529,309,876.79/405,571.50
  6. Step 6: Final answer
    x = 203,488.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.