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Finding the Fourth Proportional to 307,820.66, 461,728.55 and 165,732.48

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Solution

The fourth proportional to 307,820.66, 461,728.55 and 165,732.48 is: 248,597.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,820.66 : 461,728.55 = 165,732.48 : x
  2. Step 2: Convert to fraction form
    307,820.66/461,728.55 = 165,732.48/x
  3. Step 3: Cross multiply
    307,820.66x = 461,728.55 × 165,732.48
  4. Step 4: Simplify right side
    307,820.66x = 76,523,418,092.64
  5. Step 5: Solve for x
    x = 76,523,418,092.64/307,820.66
  6. Step 6: Final answer
    x = 248,597.41

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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.