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Finding the Fourth Proportional to 414,179.18, 620,456.84 and 214,630.46

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Solution

The fourth proportional to 414,179.18, 620,456.84 and 214,630.46 is: 321,524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,179.18 : 620,456.84 = 214,630.46 : x
  2. Step 2: Convert to fraction form
    414,179.18/620,456.84 = 214,630.46/x
  3. Step 3: Cross multiply
    414,179.18x = 620,456.84 × 214,630.46
  4. Step 4: Simplify right side
    414,179.18x = 133,168,937,457.34
  5. Step 5: Solve for x
    x = 133,168,937,457.34/414,179.18
  6. Step 6: Final answer
    x = 321,524.95

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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.