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Finding the Fourth Proportional to 389,188.38, 537,059.12 and 219,411.57

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Solution

The fourth proportional to 389,188.38, 537,059.12 and 219,411.57 is: 302,776.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,188.38 : 537,059.12 = 219,411.57 : x
  2. Step 2: Convert to fraction form
    389,188.38/537,059.12 = 219,411.57/x
  3. Step 3: Cross multiply
    389,188.38x = 537,059.12 × 219,411.57
  4. Step 4: Simplify right side
    389,188.38x = 117,836,983,604.96
  5. Step 5: Solve for x
    x = 117,836,983,604.96/389,188.38
  6. Step 6: Final answer
    x = 302,776.21

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Why These Related Problems?

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