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Finding the Fourth Proportional to 307,764.30, 461,646.45 and 167,450.70

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Solution

The fourth proportional to 307,764.30, 461,646.45 and 167,450.70 is: 251,176.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,764.30 : 461,646.45 = 167,450.70 : x
  2. Step 2: Convert to fraction form
    307,764.30/461,646.45 = 167,450.70/x
  3. Step 3: Cross multiply
    307,764.30x = 461,646.45 × 167,450.70
  4. Step 4: Simplify right side
    307,764.30x = 77,303,021,205.02
  5. Step 5: Solve for x
    x = 77,303,021,205.02/307,764.30
  6. Step 6: Final answer
    x = 251,176.05

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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.