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Finding the Fourth Proportional to 412,661.94, 619,047.99 and 163,285.62

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Solution

The fourth proportional to 412,661.94, 619,047.99 and 163,285.62 is: 244,950.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,661.94 : 619,047.99 = 163,285.62 : x
  2. Step 2: Convert to fraction form
    412,661.94/619,047.99 = 163,285.62/x
  3. Step 3: Cross multiply
    412,661.94x = 619,047.99 × 163,285.62
  4. Step 4: Simplify right side
    412,661.94x = 101,081,634,856.90
  5. Step 5: Solve for x
    x = 101,081,634,856.90/412,661.94
  6. Step 6: Final answer
    x = 244,950.22

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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.