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Finding the Fourth Proportional to 324,207.30, 486,080.55 and 146,799.30

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Solution

The fourth proportional to 324,207.30, 486,080.55 and 146,799.30 is: 220,094.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,207.30 : 486,080.55 = 146,799.30 : x
  2. Step 2: Convert to fraction form
    324,207.30/486,080.55 = 146,799.30/x
  3. Step 3: Cross multiply
    324,207.30x = 486,080.55 × 146,799.30
  4. Step 4: Simplify right side
    324,207.30x = 71,356,284,483.62
  5. Step 5: Solve for x
    x = 71,356,284,483.62/324,207.30
  6. Step 6: Final answer
    x = 220,094.63

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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.