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Finding the Fourth Proportional to 354,379.96, 489,026.22 and 193,233.64

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Solution

The fourth proportional to 354,379.96, 489,026.22 and 193,233.64 is: 266,652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,379.96 : 489,026.22 = 193,233.64 : x
  2. Step 2: Convert to fraction form
    354,379.96/489,026.22 = 193,233.64/x
  3. Step 3: Cross multiply
    354,379.96x = 489,026.22 × 193,233.64
  4. Step 4: Simplify right side
    354,379.96x = 94,496,316,546.04
  5. Step 5: Solve for x
    x = 94,496,316,546.04/354,379.96
  6. Step 6: Final answer
    x = 266,652.54

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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.