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Finding the Fourth Proportional to 492,466.81, 738,722.85 and 150,885.78

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Solution

The fourth proportional to 492,466.81, 738,722.85 and 150,885.78 is: 226,335.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,466.81 : 738,722.85 = 150,885.78 : x
  2. Step 2: Convert to fraction form
    492,466.81/738,722.85 = 150,885.78/x
  3. Step 3: Cross multiply
    492,466.81x = 738,722.85 × 150,885.78
  4. Step 4: Simplify right side
    492,466.81x = 111,462,769,732.46
  5. Step 5: Solve for x
    x = 111,462,769,732.46/492,466.81
  6. Step 6: Final answer
    x = 226,335.60

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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.