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Finding the Fourth Proportional to 307,859.20, 462,080.40 and 189,761.20

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Solution

The fourth proportional to 307,859.20, 462,080.40 and 189,761.20 is: 284,821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,859.20 : 462,080.40 = 189,761.20 : x
  2. Step 2: Convert to fraction form
    307,859.20/462,080.40 = 189,761.20/x
  3. Step 3: Cross multiply
    307,859.20x = 462,080.40 × 189,761.20
  4. Step 4: Simplify right side
    307,859.20x = 87,684,931,200.48
  5. Step 5: Solve for x
    x = 87,684,931,200.48/307,859.20
  6. Step 6: Final answer
    x = 284,821.54

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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.