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Finding the Fourth Proportional to 278,379.08, 384,529.38 and 213,454.34

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Solution

The fourth proportional to 278,379.08, 384,529.38 and 213,454.34 is: 294,847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,379.08 : 384,529.38 = 213,454.34 : x
  2. Step 2: Convert to fraction form
    278,379.08/384,529.38 = 213,454.34/x
  3. Step 3: Cross multiply
    278,379.08x = 384,529.38 × 213,454.34
  4. Step 4: Simplify right side
    278,379.08x = 82,079,465,018.51
  5. Step 5: Solve for x
    x = 82,079,465,018.51/278,379.08
  6. Step 6: Final answer
    x = 294,847.82

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Why These Related Problems?

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