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Finding the Fourth Proportional to 530,198.88, 794,997.12 and 361,923

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Solution

The fourth proportional to 530,198.88, 794,997.12 and 361,923 is: 542,678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,198.88 : 794,997.12 = 361,923 : x
  2. Step 2: Convert to fraction form
    530,198.88/794,997.12 = 361,923/x
  3. Step 3: Cross multiply
    530,198.88x = 794,997.12 × 361,923
  4. Step 4: Simplify right side
    530,198.88x = 287,727,742,661.76
  5. Step 5: Solve for x
    x = 287,727,742,661.76/530,198.88
  6. Step 6: Final answer
    x = 542,678.90

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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.