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Finding the Fourth Proportional to 455,166.12, 682,749.33 and 155,649.48

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Solution

The fourth proportional to 455,166.12, 682,749.33 and 155,649.48 is: 233,474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,166.12 : 682,749.33 = 155,649.48 : x
  2. Step 2: Convert to fraction form
    455,166.12/682,749.33 = 155,649.48/x
  3. Step 3: Cross multiply
    455,166.12x = 682,749.33 × 155,649.48
  4. Step 4: Simplify right side
    455,166.12x = 106,269,578,184.85
  5. Step 5: Solve for x
    x = 106,269,578,184.85/455,166.12
  6. Step 6: Final answer
    x = 233,474.27

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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.