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Finding the Fourth Proportional to 296,135.20, 443,911.20 and 146,398.60

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Solution

The fourth proportional to 296,135.20, 443,911.20 and 146,398.60 is: 219,453.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,135.20 : 443,911.20 = 146,398.60 : x
  2. Step 2: Convert to fraction form
    296,135.20/443,911.20 = 146,398.60/x
  3. Step 3: Cross multiply
    296,135.20x = 443,911.20 × 146,398.60
  4. Step 4: Simplify right side
    296,135.20x = 64,987,978,204.32
  5. Step 5: Solve for x
    x = 64,987,978,204.32/296,135.20
  6. Step 6: Final answer
    x = 219,453.74

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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.