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Finding the Fourth Proportional to 313,738.05, 432,958.38 and 170,498.10

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Solution

The fourth proportional to 313,738.05, 432,958.38 and 170,498.10 is: 235,287.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,738.05 : 432,958.38 = 170,498.10 : x
  2. Step 2: Convert to fraction form
    313,738.05/432,958.38 = 170,498.10/x
  3. Step 3: Cross multiply
    313,738.05x = 432,958.38 × 170,498.10
  4. Step 4: Simplify right side
    313,738.05x = 73,818,581,169.08
  5. Step 5: Solve for x
    x = 73,818,581,169.08/313,738.05
  6. Step 6: Final answer
    x = 235,287.31

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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.