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Finding the Fourth Proportional to 295,280.24, 407,486.60 and 161,144.24

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Solution

The fourth proportional to 295,280.24, 407,486.60 and 161,144.24 is: 222,378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,280.24 : 407,486.60 = 161,144.24 : x
  2. Step 2: Convert to fraction form
    295,280.24/407,486.60 = 161,144.24/x
  3. Step 3: Cross multiply
    295,280.24x = 407,486.60 × 161,144.24
  4. Step 4: Simplify right side
    295,280.24x = 65,664,118,467.18
  5. Step 5: Solve for x
    x = 65,664,118,467.18/295,280.24
  6. Step 6: Final answer
    x = 222,378.98

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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.