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Finding the Fourth Proportional to 354,387.56, 489,046.01 and 193,245.75

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Solution

The fourth proportional to 354,387.56, 489,046.01 and 193,245.75 is: 266,674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,387.56 : 489,046.01 = 193,245.75 : x
  2. Step 2: Convert to fraction form
    354,387.56/489,046.01 = 193,245.75/x
  3. Step 3: Cross multiply
    354,387.56x = 489,046.01 × 193,245.75
  4. Step 4: Simplify right side
    354,387.56x = 94,506,062,020.73
  5. Step 5: Solve for x
    x = 94,506,062,020.73/354,387.56
  6. Step 6: Final answer
    x = 266,674.33

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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.