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Finding the Fourth Proportional to 465,514.56, 698,388.48 and 149,964.48

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Solution

The fourth proportional to 465,514.56, 698,388.48 and 149,964.48 is: 224,984.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,514.56 : 698,388.48 = 149,964.48 : x
  2. Step 2: Convert to fraction form
    465,514.56/698,388.48 = 149,964.48/x
  3. Step 3: Cross multiply
    465,514.56x = 698,388.48 × 149,964.48
  4. Step 4: Simplify right side
    465,514.56x = 104,733,465,241.19
  5. Step 5: Solve for x
    x = 104,733,465,241.19/465,514.56
  6. Step 6: Final answer
    x = 224,984.30

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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.