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Finding the Fourth Proportional to 307,612.80, 461,419.20 and 82,972.80

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Solution

The fourth proportional to 307,612.80, 461,419.20 and 82,972.80 is: 124,459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,612.80 : 461,419.20 = 82,972.80 : x
  2. Step 2: Convert to fraction form
    307,612.80/461,419.20 = 82,972.80/x
  3. Step 3: Cross multiply
    307,612.80x = 461,419.20 × 82,972.80
  4. Step 4: Simplify right side
    307,612.80x = 38,285,242,997.76
  5. Step 5: Solve for x
    x = 38,285,242,997.76/307,612.80
  6. Step 6: Final answer
    x = 124,459.20

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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.