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Finding the Fourth Proportional to 470,711.44, 705,653.25 and 186,601.57

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Solution

The fourth proportional to 470,711.44, 705,653.25 and 186,601.57 is: 279,738.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,711.44 : 705,653.25 = 186,601.57 : x
  2. Step 2: Convert to fraction form
    470,711.44/705,653.25 = 186,601.57/x
  3. Step 3: Cross multiply
    470,711.44x = 705,653.25 × 186,601.57
  4. Step 4: Simplify right side
    470,711.44x = 131,675,999,864.33
  5. Step 5: Solve for x
    x = 131,675,999,864.33/470,711.44
  6. Step 6: Final answer
    x = 279,738.26

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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.