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Finding the Fourth Proportional to 405,771.48, 608,824.86 and 177,949.24

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Solution

The fourth proportional to 405,771.48, 608,824.86 and 177,949.24 is: 266,997.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,771.48 : 608,824.86 = 177,949.24 : x
  2. Step 2: Convert to fraction form
    405,771.48/608,824.86 = 177,949.24/x
  3. Step 3: Cross multiply
    405,771.48x = 608,824.86 × 177,949.24
  4. Step 4: Simplify right side
    405,771.48x = 108,339,921,130.11
  5. Step 5: Solve for x
    x = 108,339,921,130.11/405,771.48
  6. Step 6: Final answer
    x = 266,997.38

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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.