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Finding the Fourth Proportional to 419,925.87, 629,593.47 and 195,047.55

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Solution

The fourth proportional to 419,925.87, 629,593.47 and 195,047.55 is: 292,434.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,925.87 : 629,593.47 = 195,047.55 : x
  2. Step 2: Convert to fraction form
    419,925.87/629,593.47 = 195,047.55/x
  3. Step 3: Cross multiply
    419,925.87x = 629,593.47 × 195,047.55
  4. Step 4: Simplify right side
    419,925.87x = 122,800,663,819.50
  5. Step 5: Solve for x
    x = 122,800,663,819.50/419,925.87
  6. Step 6: Final answer
    x = 292,434.15

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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.