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Finding the Fourth Proportional to 383,071.14, 575,114.60 and 327,269.84

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Solution

The fourth proportional to 383,071.14, 575,114.60 and 327,269.84 is: 491,338.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,071.14 : 575,114.60 = 327,269.84 : x
  2. Step 2: Convert to fraction form
    383,071.14/575,114.60 = 327,269.84/x
  3. Step 3: Cross multiply
    383,071.14x = 575,114.60 × 327,269.84
  4. Step 4: Simplify right side
    383,071.14x = 188,217,663,123.66
  5. Step 5: Solve for x
    x = 188,217,663,123.66/383,071.14
  6. Step 6: Final answer
    x = 491,338.67

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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.