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Finding the Fourth Proportional to 358,169.61, 494,310.27 and 205,228.08

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Solution

The fourth proportional to 358,169.61, 494,310.27 and 205,228.08 is: 283,235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,169.61 : 494,310.27 = 205,228.08 : x
  2. Step 2: Convert to fraction form
    358,169.61/494,310.27 = 205,228.08/x
  3. Step 3: Cross multiply
    358,169.61x = 494,310.27 × 205,228.08
  4. Step 4: Simplify right side
    358,169.61x = 101,446,347,636.38
  5. Step 5: Solve for x
    x = 101,446,347,636.38/358,169.61
  6. Step 6: Final answer
    x = 283,235.50

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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.