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Finding the Fourth Proportional to 393,846.81, 543,289.73 and 258,099.72

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Solution

The fourth proportional to 393,846.81, 543,289.73 and 258,099.72 is: 356,034.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,846.81 : 543,289.73 = 258,099.72 : x
  2. Step 2: Convert to fraction form
    393,846.81/543,289.73 = 258,099.72/x
  3. Step 3: Cross multiply
    393,846.81x = 543,289.73 × 258,099.72
  4. Step 4: Simplify right side
    393,846.81x = 140,222,927,191.88
  5. Step 5: Solve for x
    x = 140,222,927,191.88/393,846.81
  6. Step 6: Final answer
    x = 356,034.18

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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.