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Finding the Fourth Proportional to 567,280.38, 782,846.90 and 312,631.56

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Solution

The fourth proportional to 567,280.38, 782,846.90 and 312,631.56 is: 431,431.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,280.38 : 782,846.90 = 312,631.56 : x
  2. Step 2: Convert to fraction form
    567,280.38/782,846.90 = 312,631.56/x
  3. Step 3: Cross multiply
    567,280.38x = 782,846.90 × 312,631.56
  4. Step 4: Simplify right side
    567,280.38x = 244,742,647,588.16
  5. Step 5: Solve for x
    x = 244,742,647,588.16/567,280.38
  6. Step 6: Final answer
    x = 431,431.54

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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.