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Finding the Fourth Proportional to 302,604.10, 453,906.15 and 196,315.90

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Solution

The fourth proportional to 302,604.10, 453,906.15 and 196,315.90 is: 294,473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,604.10 : 453,906.15 = 196,315.90 : x
  2. Step 2: Convert to fraction form
    302,604.10/453,906.15 = 196,315.90/x
  3. Step 3: Cross multiply
    302,604.10x = 453,906.15 × 196,315.90
  4. Step 4: Simplify right side
    302,604.10x = 89,108,994,352.79
  5. Step 5: Solve for x
    x = 89,108,994,352.79/302,604.10
  6. Step 6: Final answer
    x = 294,473.85

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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.