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Finding the Fourth Proportional to 370,257.09, 510,953.90 and 200,491.21

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Solution

The fourth proportional to 370,257.09, 510,953.90 and 200,491.21 is: 276,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,257.09 : 510,953.90 = 200,491.21 : x
  2. Step 2: Convert to fraction form
    370,257.09/510,953.90 = 200,491.21/x
  3. Step 3: Cross multiply
    370,257.09x = 510,953.90 × 200,491.21
  4. Step 4: Simplify right side
    370,257.09x = 102,441,765,665.22
  5. Step 5: Solve for x
    x = 102,441,765,665.22/370,257.09
  6. Step 6: Final answer
    x = 276,677.39

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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.