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Finding the Fourth Proportional to 295,345.60, 407,576.82 and 161,209.60

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Solution

The fourth proportional to 295,345.60, 407,576.82 and 161,209.60 is: 222,469.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,345.60 : 407,576.82 = 161,209.60 : x
  2. Step 2: Convert to fraction form
    295,345.60/407,576.82 = 161,209.60/x
  3. Step 3: Cross multiply
    295,345.60x = 407,576.82 × 161,209.60
  4. Step 4: Simplify right side
    295,345.60x = 65,705,296,121.47
  5. Step 5: Solve for x
    x = 65,705,296,121.47/295,345.60
  6. Step 6: Final answer
    x = 222,469.19

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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.