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Finding the Fourth Proportional to 295,276.73, 407,481.77 and 161,140.73

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Solution

The fourth proportional to 295,276.73, 407,481.77 and 161,140.73 is: 222,374.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,276.73 : 407,481.77 = 161,140.73 : x
  2. Step 2: Convert to fraction form
    295,276.73/407,481.77 = 161,140.73/x
  3. Step 3: Cross multiply
    295,276.73x = 407,481.77 × 161,140.73
  4. Step 4: Simplify right side
    295,276.73x = 65,661,908,244.94
  5. Step 5: Solve for x
    x = 65,661,908,244.94/295,276.73
  6. Step 6: Final answer
    x = 222,374.14

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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.