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Finding the Fourth Proportional to 313,941.76, 433,236.62 and 170,701.84

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Solution

The fourth proportional to 313,941.76, 433,236.62 and 170,701.84 is: 235,566.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,941.76 : 433,236.62 = 170,701.84 : x
  2. Step 2: Convert to fraction form
    313,941.76/433,236.62 = 170,701.84/x
  3. Step 3: Cross multiply
    313,941.76x = 433,236.62 × 170,701.84
  4. Step 4: Simplify right side
    313,941.76x = 73,954,288,189.38
  5. Step 5: Solve for x
    x = 73,954,288,189.38/313,941.76
  6. Step 6: Final answer
    x = 235,566.90

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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.