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Finding the Fourth Proportional to 297,161, 410,084.42 and 163,025

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Solution

The fourth proportional to 297,161, 410,084.42 and 163,025 is: 224,975.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,161 : 410,084.42 = 163,025 : x
  2. Step 2: Convert to fraction form
    297,161/410,084.42 = 163,025/x
  3. Step 3: Cross multiply
    297,161x = 410,084.42 × 163,025
  4. Step 4: Simplify right side
    297,161x = 66,854,012,570.50
  5. Step 5: Solve for x
    x = 66,854,012,570.50/297,161
  6. Step 6: Final answer
    x = 224,975.73

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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.