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Finding the Fourth Proportional to 619,395.14, 928,465.23 and 419,735.72

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Solution

The fourth proportional to 619,395.14, 928,465.23 and 419,735.72 is: 629,178.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,395.14 : 928,465.23 = 419,735.72 : x
  2. Step 2: Convert to fraction form
    619,395.14/928,465.23 = 419,735.72/x
  3. Step 3: Cross multiply
    619,395.14x = 928,465.23 × 419,735.72
  4. Step 4: Simplify right side
    619,395.14x = 389,710,021,809.02
  5. Step 5: Solve for x
    x = 389,710,021,809.02/619,395.14
  6. Step 6: Final answer
    x = 629,178.37

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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.