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Finding the Fourth Proportional to 295,872.98, 407,891.85 and 205,073.06

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Solution

The fourth proportional to 295,872.98, 407,891.85 and 205,073.06 is: 282,714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,872.98 : 407,891.85 = 205,073.06 : x
  2. Step 2: Convert to fraction form
    295,872.98/407,891.85 = 205,073.06/x
  3. Step 3: Cross multiply
    295,872.98x = 407,891.85 × 205,073.06
  4. Step 4: Simplify right side
    295,872.98x = 83,647,629,828.56
  5. Step 5: Solve for x
    x = 83,647,629,828.56/295,872.98
  6. Step 6: Final answer
    x = 282,714.66

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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.