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Finding the Fourth Proportional to 493,050.81, 739,687.05 and 156,111.60

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Solution

The fourth proportional to 493,050.81, 739,687.05 and 156,111.60 is: 234,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,050.81 : 739,687.05 = 156,111.60 : x
  2. Step 2: Convert to fraction form
    493,050.81/739,687.05 = 156,111.60/x
  3. Step 3: Cross multiply
    493,050.81x = 739,687.05 × 156,111.60
  4. Step 4: Simplify right side
    493,050.81x = 115,473,728,874.78
  5. Step 5: Solve for x
    x = 115,473,728,874.78/493,050.81
  6. Step 6: Final answer
    x = 234,202.49

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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.