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Finding the Fourth Proportional to 551,638.80, 827,458.20 and 196,664.40

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Solution

The fourth proportional to 551,638.80, 827,458.20 and 196,664.40 is: 294,996.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,638.80 : 827,458.20 = 196,664.40 : x
  2. Step 2: Convert to fraction form
    551,638.80/827,458.20 = 196,664.40/x
  3. Step 3: Cross multiply
    551,638.80x = 827,458.20 × 196,664.40
  4. Step 4: Simplify right side
    551,638.80x = 162,731,570,428.08
  5. Step 5: Solve for x
    x = 162,731,570,428.08/551,638.80
  6. Step 6: Final answer
    x = 294,996.60

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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.