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Finding the Fourth Proportional to 689,866.12, 951,991.14 and 383,932.36

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Solution

The fourth proportional to 689,866.12, 951,991.14 and 383,932.36 is: 529,813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,866.12 : 951,991.14 = 383,932.36 : x
  2. Step 2: Convert to fraction form
    689,866.12/951,991.14 = 383,932.36/x
  3. Step 3: Cross multiply
    689,866.12x = 951,991.14 × 383,932.36
  4. Step 4: Simplify right side
    689,866.12x = 365,500,205,079.29
  5. Step 5: Solve for x
    x = 365,500,205,079.29/689,866.12
  6. Step 6: Final answer
    x = 529,813.24

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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.