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Finding the Fourth Proportional to 519,147.82, 778,847.05 and 194,938.56

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Solution

The fourth proportional to 519,147.82, 778,847.05 and 194,938.56 is: 292,454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,147.82 : 778,847.05 = 194,938.56 : x
  2. Step 2: Convert to fraction form
    519,147.82/778,847.05 = 194,938.56/x
  3. Step 3: Cross multiply
    519,147.82x = 778,847.05 × 194,938.56
  4. Step 4: Simplify right side
    519,147.82x = 151,827,321,412.56
  5. Step 5: Solve for x
    x = 151,827,321,412.56/519,147.82
  6. Step 6: Final answer
    x = 292,454.90

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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.