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Finding the Fourth Proportional to 489,828.40, 733,835.40 and 278,839.60

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Solution

The fourth proportional to 489,828.40, 733,835.40 and 278,839.60 is: 417,742.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,828.40 : 733,835.40 = 278,839.60 : x
  2. Step 2: Convert to fraction form
    489,828.40/733,835.40 = 278,839.60/x
  3. Step 3: Cross multiply
    489,828.40x = 733,835.40 × 278,839.60
  4. Step 4: Simplify right side
    489,828.40x = 204,622,369,401.84
  5. Step 5: Solve for x
    x = 204,622,369,401.84/489,828.40
  6. Step 6: Final answer
    x = 417,742.97

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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.