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Finding the Fourth Proportional to 380,212.58, 524,824.53 and 219,131.84

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Solution

The fourth proportional to 380,212.58, 524,824.53 and 219,131.84 is: 302,477.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,212.58 : 524,824.53 = 219,131.84 : x
  2. Step 2: Convert to fraction form
    380,212.58/524,824.53 = 219,131.84/x
  3. Step 3: Cross multiply
    380,212.58x = 524,824.53 × 219,131.84
  4. Step 4: Simplify right side
    380,212.58x = 115,005,764,936.04
  5. Step 5: Solve for x
    x = 115,005,764,936.04/380,212.58
  6. Step 6: Final answer
    x = 302,477.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.