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Finding the Fourth Proportional to 274,416.62, 411,624.86 and 180,900.50

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Solution

The fourth proportional to 274,416.62, 411,624.86 and 180,900.50 is: 271,350.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,416.62 : 411,624.86 = 180,900.50 : x
  2. Step 2: Convert to fraction form
    274,416.62/411,624.86 = 180,900.50/x
  3. Step 3: Cross multiply
    274,416.62x = 411,624.86 × 180,900.50
  4. Step 4: Simplify right side
    274,416.62x = 74,463,140,023.80
  5. Step 5: Solve for x
    x = 74,463,140,023.80/274,416.62
  6. Step 6: Final answer
    x = 271,350.70

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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.