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Finding the Fourth Proportional to 339,296.70, 508,945.05 and 313,635.90

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Solution

The fourth proportional to 339,296.70, 508,945.05 and 313,635.90 is: 470,453.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,296.70 : 508,945.05 = 313,635.90 : x
  2. Step 2: Convert to fraction form
    339,296.70/508,945.05 = 313,635.90/x
  3. Step 3: Cross multiply
    339,296.70x = 508,945.05 × 313,635.90
  4. Step 4: Simplify right side
    339,296.70x = 159,623,438,807.30
  5. Step 5: Solve for x
    x = 159,623,438,807.30/339,296.70
  6. Step 6: Final answer
    x = 470,453.85

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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.