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Finding the Fourth Proportional to 493,033.48, 739,660.86 and 156,094.30

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Solution

The fourth proportional to 493,033.48, 739,660.86 and 156,094.30 is: 234,176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,033.48 : 739,660.86 = 156,094.30 : x
  2. Step 2: Convert to fraction form
    493,033.48/739,660.86 = 156,094.30/x
  3. Step 3: Cross multiply
    493,033.48x = 739,660.86 × 156,094.30
  4. Step 4: Simplify right side
    493,033.48x = 115,456,844,179.10
  5. Step 5: Solve for x
    x = 115,456,844,179.10/493,033.48
  6. Step 6: Final answer
    x = 234,176.48

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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.