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Finding the Fourth Proportional to 380,227.84, 524,739.53 and 219,093.05

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Solution

The fourth proportional to 380,227.84, 524,739.53 and 219,093.05 is: 302,362.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,227.84 : 524,739.53 = 219,093.05 : x
  2. Step 2: Convert to fraction form
    380,227.84/524,739.53 = 219,093.05/x
  3. Step 3: Cross multiply
    380,227.84x = 524,739.53 × 219,093.05
  4. Step 4: Simplify right side
    380,227.84x = 114,966,785,942.85
  5. Step 5: Solve for x
    x = 114,966,785,942.85/380,227.84
  6. Step 6: Final answer
    x = 302,362.89

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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.