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Finding the Fourth Proportional to 339,502.44, 508,291.32 and 282,115.56

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Solution

The fourth proportional to 339,502.44, 508,291.32 and 282,115.56 is: 422,373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,502.44 : 508,291.32 = 282,115.56 : x
  2. Step 2: Convert to fraction form
    339,502.44/508,291.32 = 282,115.56/x
  3. Step 3: Cross multiply
    339,502.44x = 508,291.32 × 282,115.56
  4. Step 4: Simplify right side
    339,502.44x = 143,396,890,384.94
  5. Step 5: Solve for x
    x = 143,396,890,384.94/339,502.44
  6. Step 6: Final answer
    x = 422,373.67

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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.