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Finding the Fourth Proportional to 468,684.20, 646,796.02 and 287,496.04

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Solution

The fourth proportional to 468,684.20, 646,796.02 and 287,496.04 is: 396,751.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,684.20 : 646,796.02 = 287,496.04 : x
  2. Step 2: Convert to fraction form
    468,684.20/646,796.02 = 287,496.04/x
  3. Step 3: Cross multiply
    468,684.20x = 646,796.02 × 287,496.04
  4. Step 4: Simplify right side
    468,684.20x = 185,951,294,437.76
  5. Step 5: Solve for x
    x = 185,951,294,437.76/468,684.20
  6. Step 6: Final answer
    x = 396,751.79

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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.