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Finding the Fourth Proportional to 298,370.36, 411,750.90 and 164,234.36

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Solution

The fourth proportional to 298,370.36, 411,750.90 and 164,234.36 is: 226,643.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,370.36 : 411,750.90 = 164,234.36 : x
  2. Step 2: Convert to fraction form
    298,370.36/411,750.90 = 164,234.36/x
  3. Step 3: Cross multiply
    298,370.36x = 411,750.90 × 164,234.36
  4. Step 4: Simplify right side
    298,370.36x = 67,623,645,540.92
  5. Step 5: Solve for x
    x = 67,623,645,540.92/298,370.36
  6. Step 6: Final answer
    x = 226,643.31

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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.