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Finding the Fourth Proportional to 501,257.40, 691,771.92 and 286,392.84

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Solution

The fourth proportional to 501,257.40, 691,771.92 and 286,392.84 is: 395,243.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,257.40 : 691,771.92 = 286,392.84 : x
  2. Step 2: Convert to fraction form
    501,257.40/691,771.92 = 286,392.84/x
  3. Step 3: Cross multiply
    501,257.40x = 691,771.92 × 286,392.84
  4. Step 4: Simplify right side
    501,257.40x = 198,118,524,801.05
  5. Step 5: Solve for x
    x = 198,118,524,801.05/501,257.40
  6. Step 6: Final answer
    x = 395,243.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.