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Finding the Fourth Proportional to 780,264, 1,170,396.48 and 189,288

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Solution

The fourth proportional to 780,264, 1,170,396.48 and 189,288 is: 283,932.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,264 : 1,170,396.48 = 189,288 : x
  2. Step 2: Convert to fraction form
    780,264/1,170,396.48 = 189,288/x
  3. Step 3: Cross multiply
    780,264x = 1,170,396.48 × 189,288
  4. Step 4: Simplify right side
    780,264x = 221,542,008,906.24
  5. Step 5: Solve for x
    x = 221,542,008,906.24/780,264
  6. Step 6: Final answer
    x = 283,932.12

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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.