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Finding the Fourth Proportional to 340,714.62, 511,388.37 and 172,353.96

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Solution

The fourth proportional to 340,714.62, 511,388.37 and 172,353.96 is: 258,691.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,714.62 : 511,388.37 = 172,353.96 : x
  2. Step 2: Convert to fraction form
    340,714.62/511,388.37 = 172,353.96/x
  3. Step 3: Cross multiply
    340,714.62x = 511,388.37 × 172,353.96
  4. Step 4: Simplify right side
    340,714.62x = 88,139,810,667.45
  5. Step 5: Solve for x
    x = 88,139,810,667.45/340,714.62
  6. Step 6: Final answer
    x = 258,691.01

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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.