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Finding the Fourth Proportional to 295,276.32, 407,481.84 and 161,140.32

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Solution

The fourth proportional to 295,276.32, 407,481.84 and 161,140.32 is: 222,373.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,276.32 : 407,481.84 = 161,140.32 : x
  2. Step 2: Convert to fraction form
    295,276.32/407,481.84 = 161,140.32/x
  3. Step 3: Cross multiply
    295,276.32x = 407,481.84 × 161,140.32
  4. Step 4: Simplify right side
    295,276.32x = 65,661,754,091.79
  5. Step 5: Solve for x
    x = 65,661,754,091.79/295,276.32
  6. Step 6: Final answer
    x = 222,373.92

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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.