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Finding the Fourth Proportional to 489,829.40, 733,836.90 and 278,840.60

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Solution

The fourth proportional to 489,829.40, 733,836.90 and 278,840.60 is: 417,744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,829.40 : 733,836.90 = 278,840.60 : x
  2. Step 2: Convert to fraction form
    489,829.40/733,836.90 = 278,840.60/x
  3. Step 3: Cross multiply
    489,829.40x = 733,836.90 × 278,840.60
  4. Step 4: Simplify right side
    489,829.40x = 204,623,521,498.14
  5. Step 5: Solve for x
    x = 204,623,521,498.14/489,829.40
  6. Step 6: Final answer
    x = 417,744.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.