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Finding the Fourth Proportional to 295,280.23, 407,486.60 and 161,144.23

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Solution

The fourth proportional to 295,280.23, 407,486.60 and 161,144.23 is: 222,378.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,280.23 : 407,486.60 = 161,144.23 : x
  2. Step 2: Convert to fraction form
    295,280.23/407,486.60 = 161,144.23/x
  3. Step 3: Cross multiply
    295,280.23x = 407,486.60 × 161,144.23
  4. Step 4: Simplify right side
    295,280.23x = 65,664,114,392.32
  5. Step 5: Solve for x
    x = 65,664,114,392.32/295,280.23
  6. Step 6: Final answer
    x = 222,378.97

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1.5x scale

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.