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Finding the Fourth Proportional to 384,099.80, 575,976.90 and 173,629.40

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Solution

The fourth proportional to 384,099.80, 575,976.90 and 173,629.40 is: 260,365.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,099.80 : 575,976.90 = 173,629.40 : x
  2. Step 2: Convert to fraction form
    384,099.80/575,976.90 = 173,629.40/x
  3. Step 3: Cross multiply
    384,099.80x = 575,976.90 × 173,629.40
  4. Step 4: Simplify right side
    384,099.80x = 100,006,523,560.86
  5. Step 5: Solve for x
    x = 100,006,523,560.86/384,099.80
  6. Step 6: Final answer
    x = 260,365.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.