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Finding the Fourth Proportional to 550,032.66, 825,049.65 and 150,676.86

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Solution

The fourth proportional to 550,032.66, 825,049.65 and 150,676.86 is: 226,015.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,032.66 : 825,049.65 = 150,676.86 : x
  2. Step 2: Convert to fraction form
    550,032.66/825,049.65 = 150,676.86/x
  3. Step 3: Cross multiply
    550,032.66x = 825,049.65 × 150,676.86
  4. Step 4: Simplify right side
    550,032.66x = 124,315,890,606.10
  5. Step 5: Solve for x
    x = 124,315,890,606.10/550,032.66
  6. Step 6: Final answer
    x = 226,015.47

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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.