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Finding the Fourth Proportional to 298,616.32, 412,090.40 and 164,480.32

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Solution

The fourth proportional to 298,616.32, 412,090.40 and 164,480.32 is: 226,982.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,616.32 : 412,090.40 = 164,480.32 : x
  2. Step 2: Convert to fraction form
    298,616.32/412,090.40 = 164,480.32/x
  3. Step 3: Cross multiply
    298,616.32x = 412,090.40 × 164,480.32
  4. Step 4: Simplify right side
    298,616.32x = 67,780,760,860.93
  5. Step 5: Solve for x
    x = 67,780,760,860.93/298,616.32
  6. Step 6: Final answer
    x = 226,982.77

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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.