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Finding the Fourth Proportional to 297,858.50, 446,801.42 and 146,192.78

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Solution

The fourth proportional to 297,858.50, 446,801.42 and 146,192.78 is: 219,295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,858.50 : 446,801.42 = 146,192.78 : x
  2. Step 2: Convert to fraction form
    297,858.50/446,801.42 = 146,192.78/x
  3. Step 3: Cross multiply
    297,858.50x = 446,801.42 × 146,192.78
  4. Step 4: Simplify right side
    297,858.50x = 65,319,142,357.90
  5. Step 5: Solve for x
    x = 65,319,142,357.90/297,858.50
  6. Step 6: Final answer
    x = 219,295.88

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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.