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Finding the Fourth Proportional to 298,097.70, 411,370.74 and 162,128.70

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Solution

The fourth proportional to 298,097.70, 411,370.74 and 162,128.70 is: 223,735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,097.70 : 411,370.74 = 162,128.70 : x
  2. Step 2: Convert to fraction form
    298,097.70/411,370.74 = 162,128.70/x
  3. Step 3: Cross multiply
    298,097.70x = 411,370.74 × 162,128.70
  4. Step 4: Simplify right side
    298,097.70x = 66,695,003,294.24
  5. Step 5: Solve for x
    x = 66,695,003,294.24/298,097.70
  6. Step 6: Final answer
    x = 223,735.38

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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.