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Finding the Fourth Proportional to 474,764.78, 712,144.09 and 119,779.14

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Solution

The fourth proportional to 474,764.78, 712,144.09 and 119,779.14 is: 179,667.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,764.78 : 712,144.09 = 119,779.14 : x
  2. Step 2: Convert to fraction form
    474,764.78/712,144.09 = 119,779.14/x
  3. Step 3: Cross multiply
    474,764.78x = 712,144.09 × 119,779.14
  4. Step 4: Simplify right side
    474,764.78x = 85,300,004,796.98
  5. Step 5: Solve for x
    x = 85,300,004,796.98/474,764.78
  6. Step 6: Final answer
    x = 179,667.93

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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.