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Finding the Fourth Proportional to 437,166.94, 655,838.82 and 184,448.06

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Solution

The fourth proportional to 437,166.94, 655,838.82 and 184,448.06 is: 276,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,166.94 : 655,838.82 = 184,448.06 : x
  2. Step 2: Convert to fraction form
    437,166.94/655,838.82 = 184,448.06/x
  3. Step 3: Cross multiply
    437,166.94x = 655,838.82 × 184,448.06
  4. Step 4: Simplify right side
    437,166.94x = 120,968,198,021.69
  5. Step 5: Solve for x
    x = 120,968,198,021.69/437,166.94
  6. Step 6: Final answer
    x = 276,709.39

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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.