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Finding the Fourth Proportional to 298,258.63, 411,596.90 and 164,122.63

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Solution

The fourth proportional to 298,258.63, 411,596.90 and 164,122.63 is: 226,489.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,258.63 : 411,596.90 = 164,122.63 : x
  2. Step 2: Convert to fraction form
    298,258.63/411,596.90 = 164,122.63/x
  3. Step 3: Cross multiply
    298,258.63x = 411,596.90 × 164,122.63
  4. Step 4: Simplify right side
    298,258.63x = 67,552,365,727.85
  5. Step 5: Solve for x
    x = 67,552,365,727.85/298,258.63
  6. Step 6: Final answer
    x = 226,489.22

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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.