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Finding the Fourth Proportional to 434,081.34, 651,344.30 and 206,634.37

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Solution

The fourth proportional to 434,081.34, 651,344.30 and 206,634.37 is: 310,057.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,081.34 : 651,344.30 = 206,634.37 : x
  2. Step 2: Convert to fraction form
    434,081.34/651,344.30 = 206,634.37/x
  3. Step 3: Cross multiply
    434,081.34x = 651,344.30 × 206,634.37
  4. Step 4: Simplify right side
    434,081.34x = 134,590,116,876.88
  5. Step 5: Solve for x
    x = 134,590,116,876.88/434,081.34
  6. Step 6: Final answer
    x = 310,057.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.