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Finding the Fourth Proportional to 685,794.32, 946,375.32 and 379,858.64

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Solution

The fourth proportional to 685,794.32, 946,375.32 and 379,858.64 is: 524,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,794.32 : 946,375.32 = 379,858.64 : x
  2. Step 2: Convert to fraction form
    685,794.32/946,375.32 = 379,858.64/x
  3. Step 3: Cross multiply
    685,794.32x = 946,375.32 × 379,858.64
  4. Step 4: Simplify right side
    685,794.32x = 359,488,841,984.77
  5. Step 5: Solve for x
    x = 359,488,841,984.77/685,794.32
  6. Step 6: Final answer
    x = 524,193.38

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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.