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Finding the Fourth Proportional to 685,057.23, 945,365.40 and 379,115.82

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Solution

The fourth proportional to 685,057.23, 945,365.40 and 379,115.82 is: 523,172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,057.23 : 945,365.40 = 379,115.82 : x
  2. Step 2: Convert to fraction form
    685,057.23/945,365.40 = 379,115.82/x
  3. Step 3: Cross multiply
    685,057.23x = 945,365.40 × 379,115.82
  4. Step 4: Simplify right side
    685,057.23x = 358,402,978,820.63
  5. Step 5: Solve for x
    x = 358,402,978,820.63/685,057.23
  6. Step 6: Final answer
    x = 523,172.32

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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.