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Finding the Fourth Proportional to 297,174, 410,107.32 and 163,038

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Solution

The fourth proportional to 297,174, 410,107.32 and 163,038 is: 224,996.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,174 : 410,107.32 = 163,038 : x
  2. Step 2: Convert to fraction form
    297,174/410,107.32 = 163,038/x
  3. Step 3: Cross multiply
    297,174x = 410,107.32 × 163,038
  4. Step 4: Simplify right side
    297,174x = 66,863,077,238.16
  5. Step 5: Solve for x
    x = 66,863,077,238.16/297,174
  6. Step 6: Final answer
    x = 224,996.39

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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.