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Finding the Fourth Proportional to 419,603.58, 629,404.80 and 194,841.11

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Solution

The fourth proportional to 419,603.58, 629,404.80 and 194,841.11 is: 292,261.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,603.58 : 629,404.80 = 194,841.11 : x
  2. Step 2: Convert to fraction form
    419,603.58/629,404.80 = 194,841.11/x
  3. Step 3: Cross multiply
    419,603.58x = 629,404.80 × 194,841.11
  4. Step 4: Simplify right side
    419,603.58x = 122,633,930,714.19
  5. Step 5: Solve for x
    x = 122,633,930,714.19/419,603.58
  6. Step 6: Final answer
    x = 292,261.40

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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.