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Finding the Fourth Proportional to 522,833, 784,249.50 and 128,849

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Solution

The fourth proportional to 522,833, 784,249.50 and 128,849 is: 193,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,833 : 784,249.50 = 128,849 : x
  2. Step 2: Convert to fraction form
    522,833/784,249.50 = 128,849/x
  3. Step 3: Cross multiply
    522,833x = 784,249.50 × 128,849
  4. Step 4: Simplify right side
    522,833x = 101,049,763,825.50
  5. Step 5: Solve for x
    x = 101,049,763,825.50/522,833
  6. Step 6: Final answer
    x = 193,273.50

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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.