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Finding the Fourth Proportional to 332,159, 458,379.42 and 198,023

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Solution

The fourth proportional to 332,159, 458,379.42 and 198,023 is: 273,271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,159 : 458,379.42 = 198,023 : x
  2. Step 2: Convert to fraction form
    332,159/458,379.42 = 198,023/x
  3. Step 3: Cross multiply
    332,159x = 458,379.42 × 198,023
  4. Step 4: Simplify right side
    332,159x = 90,769,667,886.66
  5. Step 5: Solve for x
    x = 90,769,667,886.66/332,159
  6. Step 6: Final answer
    x = 273,271.74

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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.