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Finding the Fourth Proportional to 383,211.91, 574,460.46 and 130,319.59

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Solution

The fourth proportional to 383,211.91, 574,460.46 and 130,319.59 is: 195,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,211.91 : 574,460.46 = 130,319.59 : x
  2. Step 2: Convert to fraction form
    383,211.91/574,460.46 = 130,319.59/x
  3. Step 3: Cross multiply
    383,211.91x = 574,460.46 × 130,319.59
  4. Step 4: Simplify right side
    383,211.91x = 74,863,451,618.41
  5. Step 5: Solve for x
    x = 74,863,451,618.41/383,211.91
  6. Step 6: Final answer
    x = 195,357.84

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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.