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Finding the Fourth Proportional to 685,976.64, 946,660.80 and 384,169.92

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Solution

The fourth proportional to 685,976.64, 946,660.80 and 384,169.92 is: 530,161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,976.64 : 946,660.80 = 384,169.92 : x
  2. Step 2: Convert to fraction form
    685,976.64/946,660.80 = 384,169.92/x
  3. Step 3: Cross multiply
    685,976.64x = 946,660.80 × 384,169.92
  4. Step 4: Simplify right side
    685,976.64x = 363,678,603,803.14
  5. Step 5: Solve for x
    x = 363,678,603,803.14/685,976.64
  6. Step 6: Final answer
    x = 530,161.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.