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Finding the Fourth Proportional to 419,748.60, 629,622.90 and 302,525.40

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Solution

The fourth proportional to 419,748.60, 629,622.90 and 302,525.40 is: 453,788.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,748.60 : 629,622.90 = 302,525.40 : x
  2. Step 2: Convert to fraction form
    419,748.60/629,622.90 = 302,525.40/x
  3. Step 3: Cross multiply
    419,748.60x = 629,622.90 × 302,525.40
  4. Step 4: Simplify right side
    419,748.60x = 190,476,919,671.66
  5. Step 5: Solve for x
    x = 190,476,919,671.66/419,748.60
  6. Step 6: Final answer
    x = 453,788.10

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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.