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Finding the Fourth Proportional to 313,778.98, 433,012.38 and 170,539.87

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Solution

The fourth proportional to 313,778.98, 433,012.38 and 170,539.87 is: 235,343.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,778.98 : 433,012.38 = 170,539.87 : x
  2. Step 2: Convert to fraction form
    313,778.98/433,012.38 = 170,539.87/x
  3. Step 3: Cross multiply
    313,778.98x = 433,012.38 × 170,539.87
  4. Step 4: Simplify right side
    313,778.98x = 73,845,874,993.59
  5. Step 5: Solve for x
    x = 73,845,874,993.59/313,778.98
  6. Step 6: Final answer
    x = 235,343.60

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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.