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Finding the Fourth Proportional to 365,934, 548,401.86 and 223,828.68

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Solution

The fourth proportional to 365,934, 548,401.86 and 223,828.68 is: 335,437.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,934 : 548,401.86 = 223,828.68 : x
  2. Step 2: Convert to fraction form
    365,934/548,401.86 = 223,828.68/x
  3. Step 3: Cross multiply
    365,934x = 548,401.86 × 223,828.68
  4. Step 4: Simplify right side
    365,934x = 122,748,064,433.35
  5. Step 5: Solve for x
    x = 122,748,064,433.35/365,934
  6. Step 6: Final answer
    x = 335,437.71

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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.