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Finding the Fourth Proportional to 341,025.75, 470,609.30 and 188,078.06

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Solution

The fourth proportional to 341,025.75, 470,609.30 and 188,078.06 is: 259,544.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,025.75 : 470,609.30 = 188,078.06 : x
  2. Step 2: Convert to fraction form
    341,025.75/470,609.30 = 188,078.06/x
  3. Step 3: Cross multiply
    341,025.75x = 470,609.30 × 188,078.06
  4. Step 4: Simplify right side
    341,025.75x = 88,511,280,868.52
  5. Step 5: Solve for x
    x = 88,511,280,868.52/341,025.75
  6. Step 6: Final answer
    x = 259,544.27

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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.