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Finding the Fourth Proportional to 415,714.20, 622,014.30 and 296,047.80

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Solution

The fourth proportional to 415,714.20, 622,014.30 and 296,047.80 is: 442,962.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,714.20 : 622,014.30 = 296,047.80 : x
  2. Step 2: Convert to fraction form
    415,714.20/622,014.30 = 296,047.80/x
  3. Step 3: Cross multiply
    415,714.20x = 622,014.30 × 296,047.80
  4. Step 4: Simplify right side
    415,714.20x = 184,145,965,083.54
  5. Step 5: Solve for x
    x = 184,145,965,083.54/415,714.20
  6. Step 6: Final answer
    x = 442,962.89

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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.