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Finding the Fourth Proportional to 313,736.18, 432,950.24 and 170,496.72

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Solution

The fourth proportional to 313,736.18, 432,950.24 and 170,496.72 is: 235,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,736.18 : 432,950.24 = 170,496.72 : x
  2. Step 2: Convert to fraction form
    313,736.18/432,950.24 = 170,496.72/x
  3. Step 3: Cross multiply
    313,736.18x = 432,950.24 × 170,496.72
  4. Step 4: Simplify right side
    313,736.18x = 73,816,595,843.21
  5. Step 5: Solve for x
    x = 73,816,595,843.21/313,736.18
  6. Step 6: Final answer
    x = 235,282.38

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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.