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Finding the Fourth Proportional to 300,270.83, 414,370.21 and 164,303.22

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Solution

The fourth proportional to 300,270.83, 414,370.21 and 164,303.22 is: 226,736.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,270.83 : 414,370.21 = 164,303.22 : x
  2. Step 2: Convert to fraction form
    300,270.83/414,370.21 = 164,303.22/x
  3. Step 3: Cross multiply
    300,270.83x = 414,370.21 × 164,303.22
  4. Step 4: Simplify right side
    300,270.83x = 68,082,359,775.08
  5. Step 5: Solve for x
    x = 68,082,359,775.08/300,270.83
  6. Step 6: Final answer
    x = 226,736.51

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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.