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Finding the Fourth Proportional to 354,422.85, 489,094.65 and 193,281

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Solution

The fourth proportional to 354,422.85, 489,094.65 and 193,281 is: 266,722.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,422.85 : 489,094.65 = 193,281 : x
  2. Step 2: Convert to fraction form
    354,422.85/489,094.65 = 193,281/x
  3. Step 3: Cross multiply
    354,422.85x = 489,094.65 × 193,281
  4. Step 4: Simplify right side
    354,422.85x = 94,532,703,046.65
  5. Step 5: Solve for x
    x = 94,532,703,046.65/354,422.85
  6. Step 6: Final answer
    x = 266,722.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.