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Finding the Fourth Proportional to 598,105.35, 825,449.40 and 365,668.67

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Solution

The fourth proportional to 598,105.35, 825,449.40 and 365,668.67 is: 504,661.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,105.35 : 825,449.40 = 365,668.67 : x
  2. Step 2: Convert to fraction form
    598,105.35/825,449.40 = 365,668.67/x
  3. Step 3: Cross multiply
    598,105.35x = 825,449.40 × 365,668.67
  4. Step 4: Simplify right side
    598,105.35x = 301,840,982,421.96
  5. Step 5: Solve for x
    x = 301,840,982,421.96/598,105.35
  6. Step 6: Final answer
    x = 504,661.90

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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.