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Finding the Fourth Proportional to 329,786, 455,104.72 and 186,542.96

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Solution

The fourth proportional to 329,786, 455,104.72 and 186,542.96 is: 257,429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,786 : 455,104.72 = 186,542.96 : x
  2. Step 2: Convert to fraction form
    329,786/455,104.72 = 186,542.96/x
  3. Step 3: Cross multiply
    329,786x = 455,104.72 × 186,542.96
  4. Step 4: Simplify right side
    329,786x = 84,896,581,578.77
  5. Step 5: Solve for x
    x = 84,896,581,578.77/329,786
  6. Step 6: Final answer
    x = 257,429.31

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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.