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Finding the Fourth Proportional to 521,714.40, 782,830.80 and 206,181.60

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Solution

The fourth proportional to 521,714.40, 782,830.80 and 206,181.60 is: 309,374.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,714.40 : 782,830.80 = 206,181.60 : x
  2. Step 2: Convert to fraction form
    521,714.40/782,830.80 = 206,181.60/x
  3. Step 3: Cross multiply
    521,714.40x = 782,830.80 × 206,181.60
  4. Step 4: Simplify right side
    521,714.40x = 161,405,306,873.28
  5. Step 5: Solve for x
    x = 161,405,306,873.28/521,714.40
  6. Step 6: Final answer
    x = 309,374.84

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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.