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Finding the Fourth Proportional to 300,398.19, 414,550.12 and 164,440.82

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Solution

The fourth proportional to 300,398.19, 414,550.12 and 164,440.82 is: 226,928.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,398.19 : 414,550.12 = 164,440.82 : x
  2. Step 2: Convert to fraction form
    300,398.19/414,550.12 = 164,440.82/x
  3. Step 3: Cross multiply
    300,398.19x = 414,550.12 × 164,440.82
  4. Step 4: Simplify right side
    300,398.19x = 68,168,960,216.42
  5. Step 5: Solve for x
    x = 68,168,960,216.42/300,398.19
  6. Step 6: Final answer
    x = 226,928.67

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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.