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Finding the Fourth Proportional to 303,168.16, 454,614 and 196,377.76

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Solution

The fourth proportional to 303,168.16, 454,614 and 196,377.76 is: 294,477.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,168.16 : 454,614 = 196,377.76 : x
  2. Step 2: Convert to fraction form
    303,168.16/454,614 = 196,377.76/x
  3. Step 3: Cross multiply
    303,168.16x = 454,614 × 196,377.76
  4. Step 4: Simplify right side
    303,168.16x = 89,276,078,984.64
  5. Step 5: Solve for x
    x = 89,276,078,984.64/303,168.16
  6. Step 6: Final answer
    x = 294,477.09

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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.