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Finding the Fourth Proportional to 412,996.80, 619,499.52 and 176,191.68

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Solution

The fourth proportional to 412,996.80, 619,499.52 and 176,191.68 is: 264,289.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,996.80 : 619,499.52 = 176,191.68 : x
  2. Step 2: Convert to fraction form
    412,996.80/619,499.52 = 176,191.68/x
  3. Step 3: Cross multiply
    412,996.80x = 619,499.52 × 176,191.68
  4. Step 4: Simplify right side
    412,996.80x = 109,150,661,187.99
  5. Step 5: Solve for x
    x = 109,150,661,187.99/412,996.80
  6. Step 6: Final answer
    x = 264,289.36

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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.