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Finding the Fourth Proportional to 522,491.30, 721,028.58 and 293,049.02

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Solution

The fourth proportional to 522,491.30, 721,028.58 and 293,049.02 is: 404,402.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,491.30 : 721,028.58 = 293,049.02 : x
  2. Step 2: Convert to fraction form
    522,491.30/721,028.58 = 293,049.02/x
  3. Step 3: Cross multiply
    522,491.30x = 721,028.58 × 293,049.02
  4. Step 4: Simplify right side
    522,491.30x = 211,296,720,563.56
  5. Step 5: Solve for x
    x = 211,296,720,563.56/522,491.30
  6. Step 6: Final answer
    x = 404,402.37

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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.