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Finding the Fourth Proportional to 509,613.73, 703,209.80 and 305,672.94

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Solution

The fourth proportional to 509,613.73, 703,209.80 and 305,672.94 is: 421,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,613.73 : 703,209.80 = 305,672.94 : x
  2. Step 2: Convert to fraction form
    509,613.73/703,209.80 = 305,672.94/x
  3. Step 3: Cross multiply
    509,613.73x = 703,209.80 × 305,672.94
  4. Step 4: Simplify right side
    509,613.73x = 214,952,207,766.99
  5. Step 5: Solve for x
    x = 214,952,207,766.99/509,613.73
  6. Step 6: Final answer
    x = 421,794.38

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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.