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Finding the Fourth Proportional to 253,815.95, 380,724.80 and 64,276.25

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Solution

The fourth proportional to 253,815.95, 380,724.80 and 64,276.25 is: 96,414.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,815.95 : 380,724.80 = 64,276.25 : x
  2. Step 2: Convert to fraction form
    253,815.95/380,724.80 = 64,276.25/x
  3. Step 3: Cross multiply
    253,815.95x = 380,724.80 × 64,276.25
  4. Step 4: Simplify right side
    253,815.95x = 24,471,560,200.99
  5. Step 5: Solve for x
    x = 24,471,560,200.99/253,815.95
  6. Step 6: Final answer
    x = 96,414.59

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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.