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Finding the Fourth Proportional to 329,814.98, 455,144.82 and 186,571.98

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Solution

The fourth proportional to 329,814.98, 455,144.82 and 186,571.98 is: 257,469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,814.98 : 455,144.82 = 186,571.98 : x
  2. Step 2: Convert to fraction form
    329,814.98/455,144.82 = 186,571.98/x
  3. Step 3: Cross multiply
    329,814.98x = 455,144.82 × 186,571.98
  4. Step 4: Simplify right side
    329,814.98x = 84,917,270,254.14
  5. Step 5: Solve for x
    x = 84,917,270,254.14/329,814.98
  6. Step 6: Final answer
    x = 257,469.42

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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.