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Finding the Fourth Proportional to 306,814.44, 423,318.78 and 197,872.68

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Solution

The fourth proportional to 306,814.44, 423,318.78 and 197,872.68 is: 273,009.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,814.44 : 423,318.78 = 197,872.68 : x
  2. Step 2: Convert to fraction form
    306,814.44/423,318.78 = 197,872.68/x
  3. Step 3: Cross multiply
    306,814.44x = 423,318.78 × 197,872.68
  4. Step 4: Simplify right side
    306,814.44x = 83,763,221,492.93
  5. Step 5: Solve for x
    x = 83,763,221,492.93/306,814.44
  6. Step 6: Final answer
    x = 273,009.38

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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.