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Finding the Fourth Proportional to 260,959.37, 360,297.42 and 200,421.84

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Solution

The fourth proportional to 260,959.37, 360,297.42 and 200,421.84 is: 276,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,959.37 : 360,297.42 = 200,421.84 : x
  2. Step 2: Convert to fraction form
    260,959.37/360,297.42 = 200,421.84/x
  3. Step 3: Cross multiply
    260,959.37x = 360,297.42 × 200,421.84
  4. Step 4: Simplify right side
    260,959.37x = 72,211,472,463.19
  5. Step 5: Solve for x
    x = 72,211,472,463.19/260,959.37
  6. Step 6: Final answer
    x = 276,715.38

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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.