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Finding the Fourth Proportional to 449,147.44, 673,805.40 and 149,646.16

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Solution

The fourth proportional to 449,147.44, 673,805.40 and 149,646.16 is: 224,497.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,147.44 : 673,805.40 = 149,646.16 : x
  2. Step 2: Convert to fraction form
    449,147.44/673,805.40 = 149,646.16/x
  3. Step 3: Cross multiply
    449,147.44x = 673,805.40 × 149,646.16
  4. Step 4: Simplify right side
    449,147.44x = 100,832,390,697.26
  5. Step 5: Solve for x
    x = 100,832,390,697.26/449,147.44
  6. Step 6: Final answer
    x = 224,497.31

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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.