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Finding the Fourth Proportional to 329,756, 455,063.31 and 186,512.96

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Solution

The fourth proportional to 329,756, 455,063.31 and 186,512.96 is: 257,387.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,756 : 455,063.31 = 186,512.96 : x
  2. Step 2: Convert to fraction form
    329,756/455,063.31 = 186,512.96/x
  3. Step 3: Cross multiply
    329,756x = 455,063.31 × 186,512.96
  4. Step 4: Simplify right side
    329,756x = 84,875,204,935.50
  5. Step 5: Solve for x
    x = 84,875,204,935.50/329,756
  6. Step 6: Final answer
    x = 257,387.90

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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.