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Finding the Fourth Proportional to 270,492.60, 405,738.90 and 270,492.60

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Solution

The fourth proportional to 270,492.60, 405,738.90 and 270,492.60 is: 405,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,492.60 : 405,738.90 = 270,492.60 : x
  2. Step 2: Convert to fraction form
    270,492.60/405,738.90 = 270,492.60/x
  3. Step 3: Cross multiply
    270,492.60x = 405,738.90 × 270,492.60
  4. Step 4: Simplify right side
    270,492.60x = 109,749,369,982.14
  5. Step 5: Solve for x
    x = 109,749,369,982.14/270,492.60
  6. Step 6: Final answer
    x = 405,738.90

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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.