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Finding the Fourth Proportional to 365,680.77, 548,161.25 and 213,684.94

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Solution

The fourth proportional to 365,680.77, 548,161.25 and 213,684.94 is: 320,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,680.77 : 548,161.25 = 213,684.94 : x
  2. Step 2: Convert to fraction form
    365,680.77/548,161.25 = 213,684.94/x
  3. Step 3: Cross multiply
    365,680.77x = 548,161.25 × 213,684.94
  4. Step 4: Simplify right side
    365,680.77x = 117,133,802,748.15
  5. Step 5: Solve for x
    x = 117,133,802,748.15/365,680.77
  6. Step 6: Final answer
    x = 320,317.10

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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.