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Finding the Fourth Proportional to 299,714.48, 413,649.30 and 178,860.86

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Solution

The fourth proportional to 299,714.48, 413,649.30 and 178,860.86 is: 246,853.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,714.48 : 413,649.30 = 178,860.86 : x
  2. Step 2: Convert to fraction form
    299,714.48/413,649.30 = 178,860.86/x
  3. Step 3: Cross multiply
    299,714.48x = 413,649.30 × 178,860.86
  4. Step 4: Simplify right side
    299,714.48x = 73,985,669,536.40
  5. Step 5: Solve for x
    x = 73,985,669,536.40/299,714.48
  6. Step 6: Final answer
    x = 246,853.84

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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.