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Finding the Fourth Proportional to 417,245.39, 625,980.42 and 214,731.17

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Solution

The fourth proportional to 417,245.39, 625,980.42 and 214,731.17 is: 322,154.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,245.39 : 625,980.42 = 214,731.17 : x
  2. Step 2: Convert to fraction form
    417,245.39/625,980.42 = 214,731.17/x
  3. Step 3: Cross multiply
    417,245.39x = 625,980.42 × 214,731.17
  4. Step 4: Simplify right side
    417,245.39x = 134,417,504,853.79
  5. Step 5: Solve for x
    x = 134,417,504,853.79/417,245.39
  6. Step 6: Final answer
    x = 322,154.56

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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.