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Finding the Fourth Proportional to 297,714.72, 446,644.80 and 148,025.46

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Solution

The fourth proportional to 297,714.72, 446,644.80 and 148,025.46 is: 222,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,714.72 : 446,644.80 = 148,025.46 : x
  2. Step 2: Convert to fraction form
    297,714.72/446,644.80 = 148,025.46/x
  3. Step 3: Cross multiply
    297,714.72x = 446,644.80 × 148,025.46
  4. Step 4: Simplify right side
    297,714.72x = 66,114,801,976.61
  5. Step 5: Solve for x
    x = 66,114,801,976.61/297,714.72
  6. Step 6: Final answer
    x = 222,074.35

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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.