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Finding the Fourth Proportional to 493,032.80, 739,546.80 and 193,301.60

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Solution

The fourth proportional to 493,032.80, 739,546.80 and 193,301.60 is: 289,951.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,032.80 : 739,546.80 = 193,301.60 : x
  2. Step 2: Convert to fraction form
    493,032.80/739,546.80 = 193,301.60/x
  3. Step 3: Cross multiply
    493,032.80x = 739,546.80 × 193,301.60
  4. Step 4: Simplify right side
    493,032.80x = 142,955,579,714.88
  5. Step 5: Solve for x
    x = 142,955,579,714.88/493,032.80
  6. Step 6: Final answer
    x = 289,951.46

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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.