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Finding the Fourth Proportional to 279,700.44, 419,562.18 and 146,506.20

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Solution

The fourth proportional to 279,700.44, 419,562.18 and 146,506.20 is: 219,765.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,700.44 : 419,562.18 = 146,506.20 : x
  2. Step 2: Convert to fraction form
    279,700.44/419,562.18 = 146,506.20/x
  3. Step 3: Cross multiply
    279,700.44x = 419,562.18 × 146,506.20
  4. Step 4: Simplify right side
    279,700.44x = 61,468,460,655.52
  5. Step 5: Solve for x
    x = 61,468,460,655.52/279,700.44
  6. Step 6: Final answer
    x = 219,765.33

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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.