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Finding the Fourth Proportional to 511,910.07, 706,691.64 and 318,380.16

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Solution

The fourth proportional to 511,910.07, 706,691.64 and 318,380.16 is: 439,523.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,910.07 : 706,691.64 = 318,380.16 : x
  2. Step 2: Convert to fraction form
    511,910.07/706,691.64 = 318,380.16/x
  3. Step 3: Cross multiply
    511,910.07x = 706,691.64 × 318,380.16
  4. Step 4: Simplify right side
    511,910.07x = 224,996,597,282.74
  5. Step 5: Solve for x
    x = 224,996,597,282.74/511,910.07
  6. Step 6: Final answer
    x = 439,523.68

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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.