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Finding the Fourth Proportional to 298,383.39, 411,804.20 and 167,582.56

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Solution

The fourth proportional to 298,383.39, 411,804.20 and 167,582.56 is: 231,283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,383.39 : 411,804.20 = 167,582.56 : x
  2. Step 2: Convert to fraction form
    298,383.39/411,804.20 = 167,582.56/x
  3. Step 3: Cross multiply
    298,383.39x = 411,804.20 × 167,582.56
  4. Step 4: Simplify right side
    298,383.39x = 69,011,202,054.75
  5. Step 5: Solve for x
    x = 69,011,202,054.75/298,383.39
  6. Step 6: Final answer
    x = 231,283.66

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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.