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Finding the Fourth Proportional to 452,540.51, 678,800.25 and 227,840.62

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Solution

The fourth proportional to 452,540.51, 678,800.25 and 227,840.62 is: 341,755.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,540.51 : 678,800.25 = 227,840.62 : x
  2. Step 2: Convert to fraction form
    452,540.51/678,800.25 = 227,840.62/x
  3. Step 3: Cross multiply
    452,540.51x = 678,800.25 × 227,840.62
  4. Step 4: Simplify right side
    452,540.51x = 154,658,269,816.16
  5. Step 5: Solve for x
    x = 154,658,269,816.16/452,540.51
  6. Step 6: Final answer
    x = 341,755.64

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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.