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Finding the Fourth Proportional to 295,400.60, 407,650.75 and 161,264.60

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Solution

The fourth proportional to 295,400.60, 407,650.75 and 161,264.60 is: 222,544.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,400.60 : 407,650.75 = 161,264.60 : x
  2. Step 2: Convert to fraction form
    295,400.60/407,650.75 = 161,264.60/x
  3. Step 3: Cross multiply
    295,400.60x = 407,650.75 × 161,264.60
  4. Step 4: Simplify right side
    295,400.60x = 65,739,632,697.03
  5. Step 5: Solve for x
    x = 65,739,632,697.03/295,400.60
  6. Step 6: Final answer
    x = 222,544.01

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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.