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Finding the Fourth Proportional to 471,833.02, 707,745.21 and 191,283.58

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Solution

The fourth proportional to 471,833.02, 707,745.21 and 191,283.58 is: 286,923.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,833.02 : 707,745.21 = 191,283.58 : x
  2. Step 2: Convert to fraction form
    471,833.02/707,745.21 = 191,283.58/x
  3. Step 3: Cross multiply
    471,833.02x = 707,745.21 × 191,283.58
  4. Step 4: Simplify right side
    471,833.02x = 135,380,037,496.65
  5. Step 5: Solve for x
    x = 135,380,037,496.65/471,833.02
  6. Step 6: Final answer
    x = 286,923.62

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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.