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Finding the Fourth Proportional to 522,096.86, 783,243.30 and 167,015.54

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Solution

The fourth proportional to 522,096.86, 783,243.30 and 167,015.54 is: 250,554.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,096.86 : 783,243.30 = 167,015.54 : x
  2. Step 2: Convert to fraction form
    522,096.86/783,243.30 = 167,015.54/x
  3. Step 3: Cross multiply
    522,096.86x = 783,243.30 × 167,015.54
  4. Step 4: Simplify right side
    522,096.86x = 130,813,802,700.88
  5. Step 5: Solve for x
    x = 130,813,802,700.88/522,096.86
  6. Step 6: Final answer
    x = 250,554.66

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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.