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Finding the Fourth Proportional to 405,469.44, 608,028.16 and 155,976.32

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Solution

The fourth proportional to 405,469.44, 608,028.16 and 155,976.32 is: 233,896.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,469.44 : 608,028.16 = 155,976.32 : x
  2. Step 2: Convert to fraction form
    405,469.44/608,028.16 = 155,976.32/x
  3. Step 3: Cross multiply
    405,469.44x = 608,028.16 × 155,976.32
  4. Step 4: Simplify right side
    405,469.44x = 94,837,994,853.17
  5. Step 5: Solve for x
    x = 94,837,994,853.17/405,469.44
  6. Step 6: Final answer
    x = 233,896.78

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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.