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Finding the Fourth Proportional to 298,274.20, 411,618.24 and 164,138.20

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Solution

The fourth proportional to 298,274.20, 411,618.24 and 164,138.20 is: 226,510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,274.20 : 411,618.24 = 164,138.20 : x
  2. Step 2: Convert to fraction form
    298,274.20/411,618.24 = 164,138.20/x
  3. Step 3: Cross multiply
    298,274.20x = 411,618.24 × 164,138.20
  4. Step 4: Simplify right side
    298,274.20x = 67,562,277,000.77
  5. Step 5: Solve for x
    x = 67,562,277,000.77/298,274.20
  6. Step 6: Final answer
    x = 226,510.63

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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.