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Finding the Fourth Proportional to 365,366.53, 504,205.64 and 214,463.53

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Solution

The fourth proportional to 365,366.53, 504,205.64 and 214,463.53 is: 295,959.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,366.53 : 504,205.64 = 214,463.53 : x
  2. Step 2: Convert to fraction form
    365,366.53/504,205.64 = 214,463.53/x
  3. Step 3: Cross multiply
    365,366.53x = 504,205.64 × 214,463.53
  4. Step 4: Simplify right side
    365,366.53x = 108,133,720,327.99
  5. Step 5: Solve for x
    x = 108,133,720,327.99/365,366.53
  6. Step 6: Final answer
    x = 295,959.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.