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Finding the Fourth Proportional to 276,578.58, 414,967.50 and 96,690.54

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Solution

The fourth proportional to 276,578.58, 414,967.50 and 96,690.54 is: 145,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,578.58 : 414,967.50 = 96,690.54 : x
  2. Step 2: Convert to fraction form
    276,578.58/414,967.50 = 96,690.54/x
  3. Step 3: Cross multiply
    276,578.58x = 414,967.50 × 96,690.54
  4. Step 4: Simplify right side
    276,578.58x = 40,123,431,657.45
  5. Step 5: Solve for x
    x = 40,123,431,657.45/276,578.58
  6. Step 6: Final answer
    x = 145,070.64

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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.