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Finding the Fourth Proportional to 306,311.84, 459,467.92 and 116,728

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Solution

The fourth proportional to 306,311.84, 459,467.92 and 116,728 is: 175,092.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,311.84 : 459,467.92 = 116,728 : x
  2. Step 2: Convert to fraction form
    306,311.84/459,467.92 = 116,728/x
  3. Step 3: Cross multiply
    306,311.84x = 459,467.92 × 116,728
  4. Step 4: Simplify right side
    306,311.84x = 53,632,771,365.76
  5. Step 5: Solve for x
    x = 53,632,771,365.76/306,311.84
  6. Step 6: Final answer
    x = 175,092.06

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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.