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Finding the Fourth Proportional to 329,536.94, 454,743.30 and 186,288.44

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Solution

The fourth proportional to 329,536.94, 454,743.30 and 186,288.44 is: 257,068.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,536.94 : 454,743.30 = 186,288.44 : x
  2. Step 2: Convert to fraction form
    329,536.94/454,743.30 = 186,288.44/x
  3. Step 3: Cross multiply
    329,536.94x = 454,743.30 × 186,288.44
  4. Step 4: Simplify right side
    329,536.94x = 84,713,419,957.45
  5. Step 5: Solve for x
    x = 84,713,419,957.45/329,536.94
  6. Step 6: Final answer
    x = 257,068.05

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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.