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Finding the Fourth Proportional to 361,993.95, 499,624.34 and 209,057.04

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Solution

The fourth proportional to 361,993.95, 499,624.34 and 209,057.04 is: 288,540.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,993.95 : 499,624.34 = 209,057.04 : x
  2. Step 2: Convert to fraction form
    361,993.95/499,624.34 = 209,057.04/x
  3. Step 3: Cross multiply
    361,993.95x = 499,624.34 × 209,057.04
  4. Step 4: Simplify right side
    361,993.95x = 104,449,984,587.07
  5. Step 5: Solve for x
    x = 104,449,984,587.07/361,993.95
  6. Step 6: Final answer
    x = 288,540.69

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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.