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Finding the Fourth Proportional to 419,368.95, 628,813.56 and 194,613.78

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Solution

The fourth proportional to 419,368.95, 628,813.56 and 194,613.78 is: 291,809.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,368.95 : 628,813.56 = 194,613.78 : x
  2. Step 2: Convert to fraction form
    419,368.95/628,813.56 = 194,613.78/x
  3. Step 3: Cross multiply
    419,368.95x = 628,813.56 × 194,613.78
  4. Step 4: Simplify right side
    419,368.95x = 122,375,783,826.86
  5. Step 5: Solve for x
    x = 122,375,783,826.86/419,368.95
  6. Step 6: Final answer
    x = 291,809.36

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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.