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Finding the Fourth Proportional to 299,780.58, 413,697.24 and 165,644.58

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Solution

The fourth proportional to 299,780.58, 413,697.24 and 165,644.58 is: 228,589.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,780.58 : 413,697.24 = 165,644.58 : x
  2. Step 2: Convert to fraction form
    299,780.58/413,697.24 = 165,644.58/x
  3. Step 3: Cross multiply
    299,780.58x = 413,697.24 × 165,644.58
  4. Step 4: Simplify right side
    299,780.58x = 68,526,705,566.96
  5. Step 5: Solve for x
    x = 68,526,705,566.96/299,780.58
  6. Step 6: Final answer
    x = 228,589.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.