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Finding the Fourth Proportional to 405,546.48, 608,320.26 and 165,660.39

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Solution

The fourth proportional to 405,546.48, 608,320.26 and 165,660.39 is: 248,490.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,546.48 : 608,320.26 = 165,660.39 : x
  2. Step 2: Convert to fraction form
    405,546.48/608,320.26 = 165,660.39/x
  3. Step 3: Cross multiply
    405,546.48x = 608,320.26 × 165,660.39
  4. Step 4: Simplify right side
    405,546.48x = 100,774,571,516.50
  5. Step 5: Solve for x
    x = 100,774,571,516.50/405,546.48
  6. Step 6: Final answer
    x = 248,490.81

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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.