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Finding the Fourth Proportional to 365,983.29, 548,693.64 and 185,920.68

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Solution

The fourth proportional to 365,983.29, 548,693.64 and 185,920.68 is: 278,738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,983.29 : 548,693.64 = 185,920.68 : x
  2. Step 2: Convert to fraction form
    365,983.29/548,693.64 = 185,920.68/x
  3. Step 3: Cross multiply
    365,983.29x = 548,693.64 × 185,920.68
  4. Step 4: Simplify right side
    365,983.29x = 102,013,494,660.48
  5. Step 5: Solve for x
    x = 102,013,494,660.48/365,983.29
  6. Step 6: Final answer
    x = 278,738.12

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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.