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Finding the Fourth Proportional to 383,160.72, 574,740.84 and 180,709.74

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Solution

The fourth proportional to 383,160.72, 574,740.84 and 180,709.74 is: 271,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,160.72 : 574,740.84 = 180,709.74 : x
  2. Step 2: Convert to fraction form
    383,160.72/574,740.84 = 180,709.74/x
  3. Step 3: Cross multiply
    383,160.72x = 574,740.84 × 180,709.74
  4. Step 4: Simplify right side
    383,160.72x = 103,861,267,763.78
  5. Step 5: Solve for x
    x = 103,861,267,763.78/383,160.72
  6. Step 6: Final answer
    x = 271,064.50

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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.