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Finding the Fourth Proportional to 260,054.40, 389,865.60 and 110,409.60

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Solution

The fourth proportional to 260,054.40, 389,865.60 and 110,409.60 is: 165,522.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,054.40 : 389,865.60 = 110,409.60 : x
  2. Step 2: Convert to fraction form
    260,054.40/389,865.60 = 110,409.60/x
  3. Step 3: Cross multiply
    260,054.40x = 389,865.60 × 110,409.60
  4. Step 4: Simplify right side
    260,054.40x = 43,044,904,949.76
  5. Step 5: Solve for x
    x = 43,044,904,949.76/260,054.40
  6. Step 6: Final answer
    x = 165,522.69

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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.