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Finding the Fourth Proportional to 493,586.25, 740,379.48 and 178,043.13

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Solution

The fourth proportional to 493,586.25, 740,379.48 and 178,043.13 is: 267,064.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,586.25 : 740,379.48 = 178,043.13 : x
  2. Step 2: Convert to fraction form
    493,586.25/740,379.48 = 178,043.13/x
  3. Step 3: Cross multiply
    493,586.25x = 740,379.48 × 178,043.13
  4. Step 4: Simplify right side
    493,586.25x = 131,819,480,006.97
  5. Step 5: Solve for x
    x = 131,819,480,006.97/493,586.25
  6. Step 6: Final answer
    x = 267,064.73

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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.