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Finding the Fourth Proportional to 298,601.13, 412,069.56 and 164,465.13

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Solution

The fourth proportional to 298,601.13, 412,069.56 and 164,465.13 is: 226,961.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,601.13 : 412,069.56 = 164,465.13 : x
  2. Step 2: Convert to fraction form
    298,601.13/412,069.56 = 164,465.13/x
  3. Step 3: Cross multiply
    298,601.13x = 412,069.56 × 164,465.13
  4. Step 4: Simplify right side
    298,601.13x = 67,771,073,754.44
  5. Step 5: Solve for x
    x = 67,771,073,754.44/298,601.13
  6. Step 6: Final answer
    x = 226,961.88

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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.