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Finding the Fourth Proportional to 340,794.56, 511,424.80 and 119,178.56

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Solution

The fourth proportional to 340,794.56, 511,424.80 and 119,178.56 is: 178,849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,794.56 : 511,424.80 = 119,178.56 : x
  2. Step 2: Convert to fraction form
    340,794.56/511,424.80 = 119,178.56/x
  3. Step 3: Cross multiply
    340,794.56x = 511,424.80 × 119,178.56
  4. Step 4: Simplify right side
    340,794.56x = 60,950,871,212.29
  5. Step 5: Solve for x
    x = 60,950,871,212.29/340,794.56
  6. Step 6: Final answer
    x = 178,849.31

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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.