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Finding the Fourth Proportional to 260,022.45, 364,818.75 and 260,022.45

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Solution

The fourth proportional to 260,022.45, 364,818.75 and 260,022.45 is: 364,818.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,022.45 : 364,818.75 = 260,022.45 : x
  2. Step 2: Convert to fraction form
    260,022.45/364,818.75 = 260,022.45/x
  3. Step 3: Cross multiply
    260,022.45x = 364,818.75 × 260,022.45
  4. Step 4: Simplify right side
    260,022.45x = 94,861,065,180.94
  5. Step 5: Solve for x
    x = 94,861,065,180.94/260,022.45
  6. Step 6: Final answer
    x = 364,818.75

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.