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Finding the Fourth Proportional to 447,714.84, 671,598.44 and 127,842.04

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Solution

The fourth proportional to 447,714.84, 671,598.44 and 127,842.04 is: 191,770.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,714.84 : 671,598.44 = 127,842.04 : x
  2. Step 2: Convert to fraction form
    447,714.84/671,598.44 = 127,842.04/x
  3. Step 3: Cross multiply
    447,714.84x = 671,598.44 × 127,842.04
  4. Step 4: Simplify right side
    447,714.84x = 85,858,514,630.42
  5. Step 5: Solve for x
    x = 85,858,514,630.42/447,714.84
  6. Step 6: Final answer
    x = 191,770.54

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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.