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Finding the Fourth Proportional to 493,645.24, 740,461.38 and 119,671.48

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Solution

The fourth proportional to 493,645.24, 740,461.38 and 119,671.48 is: 179,505.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,645.24 : 740,461.38 = 119,671.48 : x
  2. Step 2: Convert to fraction form
    493,645.24/740,461.38 = 119,671.48/x
  3. Step 3: Cross multiply
    493,645.24x = 740,461.38 × 119,671.48
  4. Step 4: Simplify right side
    493,645.24x = 88,612,109,227.44
  5. Step 5: Solve for x
    x = 88,612,109,227.44/493,645.24
  6. Step 6: Final answer
    x = 179,505.65

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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.