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Finding the Fourth Proportional to 377,853.53, 521,427.71 and 205,768.05

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Solution

The fourth proportional to 377,853.53, 521,427.71 and 205,768.05 is: 283,954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,853.53 : 521,427.71 = 205,768.05 : x
  2. Step 2: Convert to fraction form
    377,853.53/521,427.71 = 205,768.05/x
  3. Step 3: Cross multiply
    377,853.53x = 521,427.71 × 205,768.05
  4. Step 4: Simplify right side
    377,853.53x = 107,293,162,073.83
  5. Step 5: Solve for x
    x = 107,293,162,073.83/377,853.53
  6. Step 6: Final answer
    x = 283,954.38

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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.