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Finding the Fourth Proportional to 295,280.50, 407,487.10 and 161,144.50

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Solution

The fourth proportional to 295,280.50, 407,487.10 and 161,144.50 is: 222,379.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,280.50 : 407,487.10 = 161,144.50 : x
  2. Step 2: Convert to fraction form
    295,280.50/407,487.10 = 161,144.50/x
  3. Step 3: Cross multiply
    295,280.50x = 407,487.10 × 161,144.50
  4. Step 4: Simplify right side
    295,280.50x = 65,664,304,985.95
  5. Step 5: Solve for x
    x = 65,664,304,985.95/295,280.50
  6. Step 6: Final answer
    x = 222,379.42

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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.