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Finding the Fourth Proportional to 633,540.84, 874,286.50 and 347,071.24

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Solution

The fourth proportional to 633,540.84, 874,286.50 and 347,071.24 is: 478,958.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,540.84 : 874,286.50 = 347,071.24 : x
  2. Step 2: Convert to fraction form
    633,540.84/874,286.50 = 347,071.24/x
  3. Step 3: Cross multiply
    633,540.84x = 874,286.50 × 347,071.24
  4. Step 4: Simplify right side
    633,540.84x = 303,439,699,670.26
  5. Step 5: Solve for x
    x = 303,439,699,670.26/633,540.84
  6. Step 6: Final answer
    x = 478,958.39

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Why These Related Problems?

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