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Finding the Fourth Proportional to 313,764.87, 432,998.87 and 170,524.92

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Solution

The fourth proportional to 313,764.87, 432,998.87 and 170,524.92 is: 235,326.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,764.87 : 432,998.87 = 170,524.92 : x
  2. Step 2: Convert to fraction form
    313,764.87/432,998.87 = 170,524.92/x
  3. Step 3: Cross multiply
    313,764.87x = 432,998.87 × 170,524.92
  4. Step 4: Simplify right side
    313,764.87x = 73,837,096,814.22
  5. Step 5: Solve for x
    x = 73,837,096,814.22/313,764.87
  6. Step 6: Final answer
    x = 235,326.21

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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.