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Finding the Fourth Proportional to 537,853.89, 806,279.64 and 182,624.94

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Solution

The fourth proportional to 537,853.89, 806,279.64 and 182,624.94 is: 273,767.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,853.89 : 806,279.64 = 182,624.94 : x
  2. Step 2: Convert to fraction form
    537,853.89/806,279.64 = 182,624.94/x
  3. Step 3: Cross multiply
    537,853.89x = 806,279.64 × 182,624.94
  4. Step 4: Simplify right side
    537,853.89x = 147,246,770,878.22
  5. Step 5: Solve for x
    x = 147,246,770,878.22/537,853.89
  6. Step 6: Final answer
    x = 273,767.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.