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Finding the Fourth Proportional to 469,494.12, 703,825.64 and 226,212.24

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Solution

The fourth proportional to 469,494.12, 703,825.64 and 226,212.24 is: 339,118.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,494.12 : 703,825.64 = 226,212.24 : x
  2. Step 2: Convert to fraction form
    469,494.12/703,825.64 = 226,212.24/x
  3. Step 3: Cross multiply
    469,494.12x = 703,825.64 × 226,212.24
  4. Step 4: Simplify right side
    469,494.12x = 159,213,973,462.77
  5. Step 5: Solve for x
    x = 159,213,973,462.77/469,494.12
  6. Step 6: Final answer
    x = 339,118.14

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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.