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Finding the Fourth Proportional to 413,728.14, 620,579.81 and 114,227

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Solution

The fourth proportional to 413,728.14, 620,579.81 and 114,227 is: 171,337.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,728.14 : 620,579.81 = 114,227 : x
  2. Step 2: Convert to fraction form
    413,728.14/620,579.81 = 114,227/x
  3. Step 3: Cross multiply
    413,728.14x = 620,579.81 × 114,227
  4. Step 4: Simplify right side
    413,728.14x = 70,886,969,956.87
  5. Step 5: Solve for x
    x = 70,886,969,956.87/413,728.14
  6. Step 6: Final answer
    x = 171,337.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.