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Finding the Fourth Proportional to 509,215.38, 702,140.64 and 325,212.12

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Solution

The fourth proportional to 509,215.38, 702,140.64 and 325,212.12 is: 448,424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,215.38 : 702,140.64 = 325,212.12 : x
  2. Step 2: Convert to fraction form
    509,215.38/702,140.64 = 325,212.12/x
  3. Step 3: Cross multiply
    509,215.38x = 702,140.64 × 325,212.12
  4. Step 4: Simplify right side
    509,215.38x = 228,344,646,072.56
  5. Step 5: Solve for x
    x = 228,344,646,072.56/509,215.38
  6. Step 6: Final answer
    x = 448,424.49

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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.