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Finding the Fourth Proportional to 685,427.50, 945,893.19 and 383,679.82

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Solution

The fourth proportional to 685,427.50, 945,893.19 and 383,679.82 is: 529,479.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,427.50 : 945,893.19 = 383,679.82 : x
  2. Step 2: Convert to fraction form
    685,427.50/945,893.19 = 383,679.82/x
  3. Step 3: Cross multiply
    685,427.50x = 945,893.19 × 383,679.82
  4. Step 4: Simplify right side
    685,427.50x = 362,920,128,878.43
  5. Step 5: Solve for x
    x = 362,920,128,878.43/685,427.50
  6. Step 6: Final answer
    x = 529,479.97

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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.