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Finding the Fourth Proportional to 493,125.22, 739,708.92 and 193,670.72

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Solution

The fourth proportional to 493,125.22, 739,708.92 and 193,670.72 is: 290,514.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,125.22 : 739,708.92 = 193,670.72 : x
  2. Step 2: Convert to fraction form
    493,125.22/739,708.92 = 193,670.72/x
  3. Step 3: Cross multiply
    493,125.22x = 739,708.92 × 193,670.72
  4. Step 4: Simplify right side
    493,125.22x = 143,259,955,428.28
  5. Step 5: Solve for x
    x = 143,259,955,428.28/493,125.22
  6. Step 6: Final answer
    x = 290,514.36

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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.