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Finding the Fourth Proportional to 451,699.50, 677,588.49 and 119,275.50

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Solution

The fourth proportional to 451,699.50, 677,588.49 and 119,275.50 is: 178,923.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,699.50 : 677,588.49 = 119,275.50 : x
  2. Step 2: Convert to fraction form
    451,699.50/677,588.49 = 119,275.50/x
  3. Step 3: Cross multiply
    451,699.50x = 677,588.49 × 119,275.50
  4. Step 4: Simplify right side
    451,699.50x = 80,819,705,939.00
  5. Step 5: Solve for x
    x = 80,819,705,939.00/451,699.50
  6. Step 6: Final answer
    x = 178,923.61

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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.