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Finding the Fourth Proportional to 383,733.50, 575,408.52 and 223,864.38

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Solution

The fourth proportional to 383,733.50, 575,408.52 and 223,864.38 is: 335,684.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,733.50 : 575,408.52 = 223,864.38 : x
  2. Step 2: Convert to fraction form
    383,733.50/575,408.52 = 223,864.38/x
  3. Step 3: Cross multiply
    383,733.50x = 575,408.52 × 223,864.38
  4. Step 4: Simplify right side
    383,733.50x = 128,813,471,576.52
  5. Step 5: Solve for x
    x = 128,813,471,576.52/383,733.50
  6. Step 6: Final answer
    x = 335,684.72

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