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Finding the Fourth Proportional to 301,183.24, 415,633 and 167,047.24

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Solution

The fourth proportional to 301,183.24, 415,633 and 167,047.24 is: 230,525.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,183.24 : 415,633 = 167,047.24 : x
  2. Step 2: Convert to fraction form
    301,183.24/415,633 = 167,047.24/x
  3. Step 3: Cross multiply
    301,183.24x = 415,633 × 167,047.24
  4. Step 4: Simplify right side
    301,183.24x = 69,430,345,502.92
  5. Step 5: Solve for x
    x = 69,430,345,502.92/301,183.24
  6. Step 6: Final answer
    x = 230,525.26

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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.