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Finding the Fourth Proportional to 533,758.56, 802,558.28 and 492,147.68

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Solution

The fourth proportional to 533,758.56, 802,558.28 and 492,147.68 is: 739,992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,758.56 : 802,558.28 = 492,147.68 : x
  2. Step 2: Convert to fraction form
    533,758.56/802,558.28 = 492,147.68/x
  3. Step 3: Cross multiply
    533,758.56x = 802,558.28 × 492,147.68
  4. Step 4: Simplify right side
    533,758.56x = 394,977,195,566.79
  5. Step 5: Solve for x
    x = 394,977,195,566.79/533,758.56
  6. Step 6: Final answer
    x = 739,992.25

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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.