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Finding the Fourth Proportional to 538,491, 743,122.74 and 296,782.44

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Solution

The fourth proportional to 538,491, 743,122.74 and 296,782.44 is: 409,562.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,491 : 743,122.74 = 296,782.44 : x
  2. Step 2: Convert to fraction form
    538,491/743,122.74 = 296,782.44/x
  3. Step 3: Cross multiply
    538,491x = 743,122.74 × 296,782.44
  4. Step 4: Simplify right side
    538,491x = 220,545,779,996.69
  5. Step 5: Solve for x
    x = 220,545,779,996.69/538,491
  6. Step 6: Final answer
    x = 409,562.61

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