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Finding the Fourth Proportional to 306,538.54, 459,768.93 and 227,767.66

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Solution

The fourth proportional to 306,538.54, 459,768.93 and 227,767.66 is: 341,622.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,538.54 : 459,768.93 = 227,767.66 : x
  2. Step 2: Convert to fraction form
    306,538.54/459,768.93 = 227,767.66/x
  3. Step 3: Cross multiply
    306,538.54x = 459,768.93 × 227,767.66
  4. Step 4: Simplify right side
    306,538.54x = 104,720,493,326.80
  5. Step 5: Solve for x
    x = 104,720,493,326.80/306,538.54
  6. Step 6: Final answer
    x = 341,622.60

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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.