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Finding the Fourth Proportional to 355,607.82, 490,747.33 and 202,642.74

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Solution

The fourth proportional to 355,607.82, 490,747.33 and 202,642.74 is: 279,651.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,607.82 : 490,747.33 = 202,642.74 : x
  2. Step 2: Convert to fraction form
    355,607.82/490,747.33 = 202,642.74/x
  3. Step 3: Cross multiply
    355,607.82x = 490,747.33 × 202,642.74
  4. Step 4: Simplify right side
    355,607.82x = 99,446,383,598.88
  5. Step 5: Solve for x
    x = 99,446,383,598.88/355,607.82
  6. Step 6: Final answer
    x = 279,651.85

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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.