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Finding the Fourth Proportional to 298,605.26, 412,075.25 and 164,469.26

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Solution

The fourth proportional to 298,605.26, 412,075.25 and 164,469.26 is: 226,967.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,605.26 : 412,075.25 = 164,469.26 : x
  2. Step 2: Convert to fraction form
    298,605.26/412,075.25 = 164,469.26/x
  3. Step 3: Cross multiply
    298,605.26x = 412,075.25 × 164,469.26
  4. Step 4: Simplify right side
    298,605.26x = 67,773,711,431.82
  5. Step 5: Solve for x
    x = 67,773,711,431.82/298,605.26
  6. Step 6: Final answer
    x = 226,967.57

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1.5x scale

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.