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Finding the Fourth Proportional to 492,783.20, 738,958.80 and 226,455.20

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Solution

The fourth proportional to 492,783.20, 738,958.80 and 226,455.20 is: 339,583.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,783.20 : 738,958.80 = 226,455.20 : x
  2. Step 2: Convert to fraction form
    492,783.20/738,958.80 = 226,455.20/x
  3. Step 3: Cross multiply
    492,783.20x = 738,958.80 × 226,455.20
  4. Step 4: Simplify right side
    492,783.20x = 167,341,062,845.76
  5. Step 5: Solve for x
    x = 167,341,062,845.76/492,783.20
  6. Step 6: Final answer
    x = 339,583.54

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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.