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Finding the Fourth Proportional to 296,180.20, 443,978.70 and 146,443.60

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Solution

The fourth proportional to 296,180.20, 443,978.70 and 146,443.60 is: 219,521.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,180.20 : 443,978.70 = 146,443.60 : x
  2. Step 2: Convert to fraction form
    296,180.20/443,978.70 = 146,443.60/x
  3. Step 3: Cross multiply
    296,180.20x = 443,978.70 × 146,443.60
  4. Step 4: Simplify right side
    296,180.20x = 65,017,839,151.32
  5. Step 5: Solve for x
    x = 65,017,839,151.32/296,180.20
  6. Step 6: Final answer
    x = 219,521.22

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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.