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Finding the Fourth Proportional to 465,241.12, 698,069.04 and 169,684

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Solution

The fourth proportional to 465,241.12, 698,069.04 and 169,684 is: 254,601.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,241.12 : 698,069.04 = 169,684 : x
  2. Step 2: Convert to fraction form
    465,241.12/698,069.04 = 169,684/x
  3. Step 3: Cross multiply
    465,241.12x = 698,069.04 × 169,684
  4. Step 4: Simplify right side
    465,241.12x = 118,451,146,983.36
  5. Step 5: Solve for x
    x = 118,451,146,983.36/465,241.12
  6. Step 6: Final answer
    x = 254,601.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.