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Finding the Fourth Proportional to 300,323.12, 414,440.35 and 164,354.34

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Solution

The fourth proportional to 300,323.12, 414,440.35 and 164,354.34 is: 226,805.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,323.12 : 414,440.35 = 164,354.34 : x
  2. Step 2: Convert to fraction form
    300,323.12/414,440.35 = 164,354.34/x
  3. Step 3: Cross multiply
    300,323.12x = 414,440.35 × 164,354.34
  4. Step 4: Simplify right side
    300,323.12x = 68,115,070,193.62
  5. Step 5: Solve for x
    x = 68,115,070,193.62/300,323.12
  6. Step 6: Final answer
    x = 226,805.95

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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.