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Finding the Fourth Proportional to 493,074.02, 739,637.15 and 156,150.27

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Solution

The fourth proportional to 493,074.02, 739,637.15 and 156,150.27 is: 234,233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,074.02 : 739,637.15 = 156,150.27 : x
  2. Step 2: Convert to fraction form
    493,074.02/739,637.15 = 156,150.27/x
  3. Step 3: Cross multiply
    493,074.02x = 739,637.15 × 156,150.27
  4. Step 4: Simplify right side
    493,074.02x = 115,494,539,893.78
  5. Step 5: Solve for x
    x = 115,494,539,893.78/493,074.02
  6. Step 6: Final answer
    x = 234,233.68

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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.