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Finding the Fourth Proportional to 295,416.72, 407,673 and 161,280.72

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Solution

The fourth proportional to 295,416.72, 407,673 and 161,280.72 is: 222,566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,416.72 : 407,673 = 161,280.72 : x
  2. Step 2: Convert to fraction form
    295,416.72/407,673 = 161,280.72/x
  3. Step 3: Cross multiply
    295,416.72x = 407,673 × 161,280.72
  4. Step 4: Simplify right side
    295,416.72x = 65,749,794,964.56
  5. Step 5: Solve for x
    x = 65,749,794,964.56/295,416.72
  6. Step 6: Final answer
    x = 222,566.26

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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.