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Finding the Fourth Proportional to 408,826.82, 613,341.48 and 195,756.86

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Solution

The fourth proportional to 408,826.82, 613,341.48 and 195,756.86 is: 293,683.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,826.82 : 613,341.48 = 195,756.86 : x
  2. Step 2: Convert to fraction form
    408,826.82/613,341.48 = 195,756.86/x
  3. Step 3: Cross multiply
    408,826.82x = 613,341.48 × 195,756.86
  4. Step 4: Simplify right side
    408,826.82x = 120,065,802,232.55
  5. Step 5: Solve for x
    x = 120,065,802,232.55/408,826.82
  6. Step 6: Final answer
    x = 293,683.77

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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.