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Finding the Fourth Proportional to 295,686.56, 408,048.72 and 161,553.44

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Solution

The fourth proportional to 295,686.56, 408,048.72 and 161,553.44 is: 222,944.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,686.56 : 408,048.72 = 161,553.44 : x
  2. Step 2: Convert to fraction form
    295,686.56/408,048.72 = 161,553.44/x
  3. Step 3: Cross multiply
    295,686.56x = 408,048.72 × 161,553.44
  4. Step 4: Simplify right side
    295,686.56x = 65,921,674,403.60
  5. Step 5: Solve for x
    x = 65,921,674,403.60/295,686.56
  6. Step 6: Final answer
    x = 222,944.44

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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.