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Finding the Fourth Proportional to 509,081.39, 702,491.33 and 294,235.37

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Solution

The fourth proportional to 509,081.39, 702,491.33 and 294,235.37 is: 406,021.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,081.39 : 702,491.33 = 294,235.37 : x
  2. Step 2: Convert to fraction form
    509,081.39/702,491.33 = 294,235.37/x
  3. Step 3: Cross multiply
    509,081.39x = 702,491.33 × 294,235.37
  4. Step 4: Simplify right side
    509,081.39x = 206,697,793,912.53
  5. Step 5: Solve for x
    x = 206,697,793,912.53/509,081.39
  6. Step 6: Final answer
    x = 406,021.12

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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.