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Finding the Fourth Proportional to 313,993.92, 433,183.84 and 177,999.04

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Solution

The fourth proportional to 313,993.92, 433,183.84 and 177,999.04 is: 245,566.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,993.92 : 433,183.84 = 177,999.04 : x
  2. Step 2: Convert to fraction form
    313,993.92/433,183.84 = 177,999.04/x
  3. Step 3: Cross multiply
    313,993.92x = 433,183.84 × 177,999.04
  4. Step 4: Simplify right side
    313,993.92x = 77,106,307,663.51
  5. Step 5: Solve for x
    x = 77,106,307,663.51/313,993.92
  6. Step 6: Final answer
    x = 245,566.24

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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.