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Finding the Fourth Proportional to 468,352.44, 646,342.02 and 287,029.34

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Solution

The fourth proportional to 468,352.44, 646,342.02 and 287,029.34 is: 396,110.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,352.44 : 646,342.02 = 287,029.34 : x
  2. Step 2: Convert to fraction form
    468,352.44/646,342.02 = 287,029.34/x
  3. Step 3: Cross multiply
    468,352.44x = 646,342.02 × 287,029.34
  4. Step 4: Simplify right side
    468,352.44x = 185,519,120,183.16
  5. Step 5: Solve for x
    x = 185,519,120,183.16/468,352.44
  6. Step 6: Final answer
    x = 396,110.08

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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.