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Finding the Fourth Proportional to 307,450.49, 461,315.85 and 157,795.86

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Solution

The fourth proportional to 307,450.49, 461,315.85 and 157,795.86 is: 236,765.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,450.49 : 461,315.85 = 157,795.86 : x
  2. Step 2: Convert to fraction form
    307,450.49/461,315.85 = 157,795.86/x
  3. Step 3: Cross multiply
    307,450.49x = 461,315.85 × 157,795.86
  4. Step 4: Simplify right side
    307,450.49x = 72,793,732,420.58
  5. Step 5: Solve for x
    x = 72,793,732,420.58/307,450.49
  6. Step 6: Final answer
    x = 236,765.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.