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Finding the Fourth Proportional to 342,957.21, 473,511.90 and 214,091.88

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Solution

The fourth proportional to 342,957.21, 473,511.90 and 214,091.88 is: 295,590.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,957.21 : 473,511.90 = 214,091.88 : x
  2. Step 2: Convert to fraction form
    342,957.21/473,511.90 = 214,091.88/x
  3. Step 3: Cross multiply
    342,957.21x = 473,511.90 × 214,091.88
  4. Step 4: Simplify right side
    342,957.21x = 101,375,052,873.37
  5. Step 5: Solve for x
    x = 101,375,052,873.37/342,957.21
  6. Step 6: Final answer
    x = 295,590.97

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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.