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Finding the Fourth Proportional to 358,491.18, 494,723.52 and 205,542.84

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Solution

The fourth proportional to 358,491.18, 494,723.52 and 205,542.84 is: 283,652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,491.18 : 494,723.52 = 205,542.84 : x
  2. Step 2: Convert to fraction form
    358,491.18/494,723.52 = 205,542.84/x
  3. Step 3: Cross multiply
    358,491.18x = 494,723.52 × 205,542.84
  4. Step 4: Simplify right side
    358,491.18x = 101,686,877,315.60
  5. Step 5: Solve for x
    x = 101,686,877,315.60/358,491.18
  6. Step 6: Final answer
    x = 283,652.38

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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.