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Finding the Fourth Proportional to 341,021.13, 470,599 and 188,059.30

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Solution

The fourth proportional to 341,021.13, 470,599 and 188,059.30 is: 259,516.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,021.13 : 470,599 = 188,059.30 : x
  2. Step 2: Convert to fraction form
    341,021.13/470,599 = 188,059.30/x
  3. Step 3: Cross multiply
    341,021.13x = 470,599 × 188,059.30
  4. Step 4: Simplify right side
    341,021.13x = 88,500,518,520.70
  5. Step 5: Solve for x
    x = 88,500,518,520.70/341,021.13
  6. Step 6: Final answer
    x = 259,516.23

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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.