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Finding the Fourth Proportional to 313,811.70, 433,062.76 and 170,571.72

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Solution

The fourth proportional to 313,811.70, 433,062.76 and 170,571.72 is: 235,390.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,811.70 : 433,062.76 = 170,571.72 : x
  2. Step 2: Convert to fraction form
    313,811.70/433,062.76 = 170,571.72/x
  3. Step 3: Cross multiply
    313,811.70x = 433,062.76 × 170,571.72
  4. Step 4: Simplify right side
    313,811.70x = 73,868,259,841.15
  5. Step 5: Solve for x
    x = 73,868,259,841.15/313,811.70
  6. Step 6: Final answer
    x = 235,390.39

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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.