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Finding the Fourth Proportional to 685,402.70, 945,824.85 and 379,457.60

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Solution

The fourth proportional to 685,402.70, 945,824.85 and 379,457.60 is: 523,634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,402.70 : 945,824.85 = 379,457.60 : x
  2. Step 2: Convert to fraction form
    685,402.70/945,824.85 = 379,457.60/x
  3. Step 3: Cross multiply
    685,402.70x = 945,824.85 × 379,457.60
  4. Step 4: Simplify right side
    685,402.70x = 358,900,422,872.24
  5. Step 5: Solve for x
    x = 358,900,422,872.24/685,402.70
  6. Step 6: Final answer
    x = 523,634.39

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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.