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Finding the Fourth Proportional to 619,993.01, 930,069.71 and 427,509.68

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Solution

The fourth proportional to 619,993.01, 930,069.71 and 427,509.68 is: 641,319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,993.01 : 930,069.71 = 427,509.68 : x
  2. Step 2: Convert to fraction form
    619,993.01/930,069.71 = 427,509.68/x
  3. Step 3: Cross multiply
    619,993.01x = 930,069.71 × 427,509.68
  4. Step 4: Simplify right side
    619,993.01x = 397,613,797,311.90
  5. Step 5: Solve for x
    x = 397,613,797,311.90/619,993.01
  6. Step 6: Final answer
    x = 641,319.81

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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.