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Finding the Fourth Proportional to 313,881.24, 433,151 and 170,644.86

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Solution

The fourth proportional to 313,881.24, 433,151 and 170,644.86 is: 235,487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,881.24 : 433,151 = 170,644.86 : x
  2. Step 2: Convert to fraction form
    313,881.24/433,151 = 170,644.86/x
  3. Step 3: Cross multiply
    313,881.24x = 433,151 × 170,644.86
  4. Step 4: Simplify right side
    313,881.24x = 73,914,991,753.86
  5. Step 5: Solve for x
    x = 73,914,991,753.86/313,881.24
  6. Step 6: Final answer
    x = 235,487.13

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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.