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Finding the Fourth Proportional to 301,134.68, 451,849.44 and 212,954.84

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Solution

The fourth proportional to 301,134.68, 451,849.44 and 212,954.84 is: 319,536.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,134.68 : 451,849.44 = 212,954.84 : x
  2. Step 2: Convert to fraction form
    301,134.68/451,849.44 = 212,954.84/x
  3. Step 3: Cross multiply
    301,134.68x = 451,849.44 × 212,954.84
  4. Step 4: Simplify right side
    301,134.68x = 96,223,525,199.29
  5. Step 5: Solve for x
    x = 96,223,525,199.29/301,134.68
  6. Step 6: Final answer
    x = 319,536.51

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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.