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Finding the Fourth Proportional to 380,205.45, 524,738.94 and 219,029.49

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Solution

The fourth proportional to 380,205.45, 524,738.94 and 219,029.49 is: 302,292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,205.45 : 524,738.94 = 219,029.49 : x
  2. Step 2: Convert to fraction form
    380,205.45/524,738.94 = 219,029.49/x
  3. Step 3: Cross multiply
    380,205.45x = 524,738.94 × 219,029.49
  4. Step 4: Simplify right side
    380,205.45x = 114,933,302,411.34
  5. Step 5: Solve for x
    x = 114,933,302,411.34/380,205.45
  6. Step 6: Final answer
    x = 302,292.62

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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.