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Finding the Fourth Proportional to 466,241.86, 643,069.37 and 321,093.74

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Solution

The fourth proportional to 466,241.86, 643,069.37 and 321,093.74 is: 442,872.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,241.86 : 643,069.37 = 321,093.74 : x
  2. Step 2: Convert to fraction form
    466,241.86/643,069.37 = 321,093.74/x
  3. Step 3: Cross multiply
    466,241.86x = 643,069.37 × 321,093.74
  4. Step 4: Simplify right side
    466,241.86x = 206,485,549,092.74
  5. Step 5: Solve for x
    x = 206,485,549,092.74/466,241.86
  6. Step 6: Final answer
    x = 442,872.18

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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.