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Finding the Fourth Proportional to 469,132.42, 703,699.11 and 114,146.42

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Solution

The fourth proportional to 469,132.42, 703,699.11 and 114,146.42 is: 171,219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,132.42 : 703,699.11 = 114,146.42 : x
  2. Step 2: Convert to fraction form
    469,132.42/703,699.11 = 114,146.42/x
  3. Step 3: Cross multiply
    469,132.42x = 703,699.11 × 114,146.42
  4. Step 4: Simplify right side
    469,132.42x = 80,324,734,163.69
  5. Step 5: Solve for x
    x = 80,324,734,163.69/469,132.42
  6. Step 6: Final answer
    x = 171,219.75

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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.