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Finding the Fourth Proportional to 405,632.70, 608,450.07 and 165,746.60

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Solution

The fourth proportional to 405,632.70, 608,450.07 and 165,746.60 is: 248,620.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,632.70 : 608,450.07 = 165,746.60 : x
  2. Step 2: Convert to fraction form
    405,632.70/608,450.07 = 165,746.60/x
  3. Step 3: Cross multiply
    405,632.70x = 608,450.07 × 165,746.60
  4. Step 4: Simplify right side
    405,632.70x = 100,848,530,233.25
  5. Step 5: Solve for x
    x = 100,848,530,233.25/405,632.70
  6. Step 6: Final answer
    x = 248,620.32

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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.