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Finding the Fourth Proportional to 493,548.13, 740,626.76 and 193,976.11

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Solution

The fourth proportional to 493,548.13, 740,626.76 and 193,976.11 is: 291,083.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,548.13 : 740,626.76 = 193,976.11 : x
  2. Step 2: Convert to fraction form
    493,548.13/740,626.76 = 193,976.11/x
  3. Step 3: Cross multiply
    493,548.13x = 740,626.76 × 193,976.11
  4. Step 4: Simplify right side
    493,548.13x = 143,663,897,866.70
  5. Step 5: Solve for x
    x = 143,663,897,866.70/493,548.13
  6. Step 6: Final answer
    x = 291,083.87

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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.