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Finding the Fourth Proportional to 313,939.76, 433,233.86 and 170,699.85

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Solution

The fourth proportional to 313,939.76, 433,233.86 and 170,699.85 is: 235,564.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,939.76 : 433,233.86 = 170,699.85 : x
  2. Step 2: Convert to fraction form
    313,939.76/433,233.86 = 170,699.85/x
  3. Step 3: Cross multiply
    313,939.76x = 433,233.86 × 170,699.85
  4. Step 4: Simplify right side
    313,939.76x = 73,952,954,063.42
  5. Step 5: Solve for x
    x = 73,952,954,063.42/313,939.76
  6. Step 6: Final answer
    x = 235,564.16

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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.