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Finding the Fourth Proportional to 260,042.40, 389,847.60 and 110,397.60

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Solution

The fourth proportional to 260,042.40, 389,847.60 and 110,397.60 is: 165,504.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,042.40 : 389,847.60 = 110,397.60 : x
  2. Step 2: Convert to fraction form
    260,042.40/389,847.60 = 110,397.60/x
  3. Step 3: Cross multiply
    260,042.40x = 389,847.60 × 110,397.60
  4. Step 4: Simplify right side
    260,042.40x = 43,038,239,405.76
  5. Step 5: Solve for x
    x = 43,038,239,405.76/260,042.40
  6. Step 6: Final answer
    x = 165,504.70

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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.