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Finding the Fourth Proportional to 313,983.96, 433,309.24 and 179,873.88

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Solution

The fourth proportional to 313,983.96, 433,309.24 and 179,873.88 is: 248,232.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,983.96 : 433,309.24 = 179,873.88 : x
  2. Step 2: Convert to fraction form
    313,983.96/433,309.24 = 179,873.88/x
  3. Step 3: Cross multiply
    313,983.96x = 433,309.24 × 179,873.88
  4. Step 4: Simplify right side
    313,983.96x = 77,941,014,238.65
  5. Step 5: Solve for x
    x = 77,941,014,238.65/313,983.96
  6. Step 6: Final answer
    x = 248,232.47

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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.