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Finding the Fourth Proportional to 263,804.84, 395,707.41 and 185,269.67

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Solution

The fourth proportional to 263,804.84, 395,707.41 and 185,269.67 is: 277,904.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,804.84 : 395,707.41 = 185,269.67 : x
  2. Step 2: Convert to fraction form
    263,804.84/395,707.41 = 185,269.67/x
  3. Step 3: Cross multiply
    263,804.84x = 395,707.41 × 185,269.67
  4. Step 4: Simplify right side
    263,804.84x = 73,312,579,288.72
  5. Step 5: Solve for x
    x = 73,312,579,288.72/263,804.84
  6. Step 6: Final answer
    x = 277,904.61

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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.