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Finding the Fourth Proportional to 329,763, 455,073 and 186,519.96

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Solution

The fourth proportional to 329,763, 455,073 and 186,519.96 is: 257,397.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,763 : 455,073 = 186,519.96 : x
  2. Step 2: Convert to fraction form
    329,763/455,073 = 186,519.96/x
  3. Step 3: Cross multiply
    329,763x = 455,073 × 186,519.96
  4. Step 4: Simplify right side
    329,763x = 84,880,197,757.08
  5. Step 5: Solve for x
    x = 84,880,197,757.08/329,763
  6. Step 6: Final answer
    x = 257,397.58

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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.