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Finding the Fourth Proportional to 511,687.92, 706,323.88 and 384,732.30

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Solution

The fourth proportional to 511,687.92, 706,323.88 and 384,732.30 is: 531,076.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,687.92 : 706,323.88 = 384,732.30 : x
  2. Step 2: Convert to fraction form
    511,687.92/706,323.88 = 384,732.30/x
  3. Step 3: Cross multiply
    511,687.92x = 706,323.88 × 384,732.30
  4. Step 4: Simplify right side
    511,687.92x = 271,745,610,897.32
  5. Step 5: Solve for x
    x = 271,745,610,897.32/511,687.92
  6. Step 6: Final answer
    x = 531,076.85

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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.