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Finding the Fourth Proportional to 511,610.48, 706,468.20 and 320,951.60

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Solution

The fourth proportional to 511,610.48, 706,468.20 and 320,951.60 is: 443,192.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,610.48 : 706,468.20 = 320,951.60 : x
  2. Step 2: Convert to fraction form
    511,610.48/706,468.20 = 320,951.60/x
  3. Step 3: Cross multiply
    511,610.48x = 706,468.20 × 320,951.60
  4. Step 4: Simplify right side
    511,610.48x = 226,742,099,139.12
  5. Step 5: Solve for x
    x = 226,742,099,139.12/511,610.48
  6. Step 6: Final answer
    x = 443,192.84

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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.