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Finding the Fourth Proportional to 307,846.60, 461,381.10 and 149,734.60

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Solution

The fourth proportional to 307,846.60, 461,381.10 and 149,734.60 is: 224,412.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,846.60 : 461,381.10 = 149,734.60 : x
  2. Step 2: Convert to fraction form
    307,846.60/461,381.10 = 149,734.60/x
  3. Step 3: Cross multiply
    307,846.60x = 461,381.10 × 149,734.60
  4. Step 4: Simplify right side
    307,846.60x = 69,084,714,456.06
  5. Step 5: Solve for x
    x = 69,084,714,456.06/307,846.60
  6. Step 6: Final answer
    x = 224,412.79

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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.