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Finding the Fourth Proportional to 297,211.78, 410,152.26 and 169,890.13

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Solution

The fourth proportional to 297,211.78, 410,152.26 and 169,890.13 is: 234,448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,211.78 : 410,152.26 = 169,890.13 : x
  2. Step 2: Convert to fraction form
    297,211.78/410,152.26 = 169,890.13/x
  3. Step 3: Cross multiply
    297,211.78x = 410,152.26 × 169,890.13
  4. Step 4: Simplify right side
    297,211.78x = 69,680,820,771.19
  5. Step 5: Solve for x
    x = 69,680,820,771.19/297,211.78
  6. Step 6: Final answer
    x = 234,448.38

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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.