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Finding the Fourth Proportional to 260,973.88, 360,317.40 and 200,436.36

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Solution

The fourth proportional to 260,973.88, 360,317.40 and 200,436.36 is: 276,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,973.88 : 360,317.40 = 200,436.36 : x
  2. Step 2: Convert to fraction form
    260,973.88/360,317.40 = 200,436.36/x
  3. Step 3: Cross multiply
    260,973.88x = 360,317.40 × 200,436.36
  4. Step 4: Simplify right side
    260,973.88x = 72,220,708,100.66
  5. Step 5: Solve for x
    x = 72,220,708,100.66/260,973.88
  6. Step 6: Final answer
    x = 276,735.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.