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Finding the Fourth Proportional to 385,680.44, 578,893.81 and 186,141.31

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Solution

The fourth proportional to 385,680.44, 578,893.81 and 186,141.31 is: 279,392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,680.44 : 578,893.81 = 186,141.31 : x
  2. Step 2: Convert to fraction form
    385,680.44/578,893.81 = 186,141.31/x
  3. Step 3: Cross multiply
    385,680.44x = 578,893.81 × 186,141.31
  4. Step 4: Simplify right side
    385,680.44x = 107,756,052,144.29
  5. Step 5: Solve for x
    x = 107,756,052,144.29/385,680.44
  6. Step 6: Final answer
    x = 279,392.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.