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Finding the Fourth Proportional to 468,346.43, 646,333.74 and 287,023.34

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Solution

The fourth proportional to 468,346.43, 646,333.74 and 287,023.34 is: 396,101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,346.43 : 646,333.74 = 287,023.34 : x
  2. Step 2: Convert to fraction form
    468,346.43/646,333.74 = 287,023.34/x
  3. Step 3: Cross multiply
    468,346.43x = 646,333.74 × 287,023.34
  4. Step 4: Simplify right side
    468,346.43x = 185,512,865,577.82
  5. Step 5: Solve for x
    x = 185,512,865,577.82/468,346.43
  6. Step 6: Final answer
    x = 396,101.81

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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.