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Finding the Fourth Proportional to 397,604.64, 548,706.96 and 227,892

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Solution

The fourth proportional to 397,604.64, 548,706.96 and 227,892 is: 314,498.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,604.64 : 548,706.96 = 227,892 : x
  2. Step 2: Convert to fraction form
    397,604.64/548,706.96 = 227,892/x
  3. Step 3: Cross multiply
    397,604.64x = 548,706.96 × 227,892
  4. Step 4: Simplify right side
    397,604.64x = 125,045,926,528.32
  5. Step 5: Solve for x
    x = 125,045,926,528.32/397,604.64
  6. Step 6: Final answer
    x = 314,498.16

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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.