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Finding the Fourth Proportional to 358,661.86, 494,954.85 and 205,705.96

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Solution

The fourth proportional to 358,661.86, 494,954.85 and 205,705.96 is: 283,875.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,661.86 : 494,954.85 = 205,705.96 : x
  2. Step 2: Convert to fraction form
    358,661.86/494,954.85 = 205,705.96/x
  3. Step 3: Cross multiply
    358,661.86x = 494,954.85 × 205,705.96
  4. Step 4: Simplify right side
    358,661.86x = 101,815,162,575.91
  5. Step 5: Solve for x
    x = 101,815,162,575.91/358,661.86
  6. Step 6: Final answer
    x = 283,875.08

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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.