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Finding the Fourth Proportional to 295,205.52, 407,383.38 and 161,069.52

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Solution

The fourth proportional to 295,205.52, 407,383.38 and 161,069.52 is: 222,275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,205.52 : 407,383.38 = 161,069.52 : x
  2. Step 2: Convert to fraction form
    295,205.52/407,383.38 = 161,069.52/x
  3. Step 3: Cross multiply
    295,205.52x = 407,383.38 × 161,069.52
  4. Step 4: Simplify right side
    295,205.52x = 65,617,045,472.58
  5. Step 5: Solve for x
    x = 65,617,045,472.58/295,205.52
  6. Step 6: Final answer
    x = 222,275.81

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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.