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Finding the Fourth Proportional to 290,481.40, 435,722.10 and 172,091.80

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Solution

The fourth proportional to 290,481.40, 435,722.10 and 172,091.80 is: 258,137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,481.40 : 435,722.10 = 172,091.80 : x
  2. Step 2: Convert to fraction form
    290,481.40/435,722.10 = 172,091.80/x
  3. Step 3: Cross multiply
    290,481.40x = 435,722.10 × 172,091.80
  4. Step 4: Simplify right side
    290,481.40x = 74,984,200,488.78
  5. Step 5: Solve for x
    x = 74,984,200,488.78/290,481.40
  6. Step 6: Final answer
    x = 258,137.70

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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.