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Finding the Fourth Proportional to 383,160.53, 574,740.44 and 180,709.40

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Solution

The fourth proportional to 383,160.53, 574,740.44 and 180,709.40 is: 271,063.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,160.53 : 574,740.44 = 180,709.40 : x
  2. Step 2: Convert to fraction form
    383,160.53/574,740.44 = 180,709.40/x
  3. Step 3: Cross multiply
    383,160.53x = 574,740.44 × 180,709.40
  4. Step 4: Simplify right side
    383,160.53x = 103,861,000,068.14
  5. Step 5: Solve for x
    x = 103,861,000,068.14/383,160.53
  6. Step 6: Final answer
    x = 271,063.93

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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.