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Finding the Fourth Proportional to 358,480.98, 494,709.98 and 205,544.07

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Solution

The fourth proportional to 358,480.98, 494,709.98 and 205,544.07 is: 283,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,480.98 : 494,709.98 = 205,544.07 : x
  2. Step 2: Convert to fraction form
    358,480.98/494,709.98 = 205,544.07/x
  3. Step 3: Cross multiply
    358,480.98x = 494,709.98 × 205,544.07
  4. Step 4: Simplify right side
    358,480.98x = 101,684,701,731.10
  5. Step 5: Solve for x
    x = 101,684,701,731.10/358,480.98
  6. Step 6: Final answer
    x = 283,654.38

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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.