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Finding the Fourth Proportional to 383,732.50, 529,758.47 and 230,804.83

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Solution

The fourth proportional to 383,732.50, 529,758.47 and 230,804.83 is: 318,635.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,732.50 : 529,758.47 = 230,804.83 : x
  2. Step 2: Convert to fraction form
    383,732.50/529,758.47 = 230,804.83/x
  3. Step 3: Cross multiply
    383,732.50x = 529,758.47 × 230,804.83
  4. Step 4: Simplify right side
    383,732.50x = 122,270,813,609.41
  5. Step 5: Solve for x
    x = 122,270,813,609.41/383,732.50
  6. Step 6: Final answer
    x = 318,635.54

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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.