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Finding the Fourth Proportional to 493,748.82, 740,623.22 and 138,762.84

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Solution

The fourth proportional to 493,748.82, 740,623.22 and 138,762.84 is: 208,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,748.82 : 740,623.22 = 138,762.84 : x
  2. Step 2: Convert to fraction form
    493,748.82/740,623.22 = 138,762.84/x
  3. Step 3: Cross multiply
    493,748.82x = 740,623.22 × 138,762.84
  4. Step 4: Simplify right side
    493,748.82x = 102,770,980,683.33
  5. Step 5: Solve for x
    x = 102,770,980,683.33/493,748.82
  6. Step 6: Final answer
    x = 208,144.26

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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.