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Finding the Fourth Proportional to 270,440.70, 405,342.54 and 110,416.74

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Solution

The fourth proportional to 270,440.70, 405,342.54 and 110,416.74 is: 165,495.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,440.70 : 405,342.54 = 110,416.74 : x
  2. Step 2: Convert to fraction form
    270,440.70/405,342.54 = 110,416.74/x
  3. Step 3: Cross multiply
    270,440.70x = 405,342.54 × 110,416.74
  4. Step 4: Simplify right side
    270,440.70x = 44,756,601,850.12
  5. Step 5: Solve for x
    x = 44,756,601,850.12/270,440.70
  6. Step 6: Final answer
    x = 165,495.07

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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.