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Finding the Fourth Proportional to 419,902.60, 629,853.90 and 260,105.80

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Solution

The fourth proportional to 419,902.60, 629,853.90 and 260,105.80 is: 390,158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,902.60 : 629,853.90 = 260,105.80 : x
  2. Step 2: Convert to fraction form
    419,902.60/629,853.90 = 260,105.80/x
  3. Step 3: Cross multiply
    419,902.60x = 629,853.90 × 260,105.80
  4. Step 4: Simplify right side
    419,902.60x = 163,828,652,542.62
  5. Step 5: Solve for x
    x = 163,828,652,542.62/419,902.60
  6. Step 6: Final answer
    x = 390,158.70

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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.