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Finding the Fourth Proportional to 619,408.86, 929,002.58 and 394,100.02

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Solution

The fourth proportional to 619,408.86, 929,002.58 and 394,100.02 is: 591,079.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,408.86 : 929,002.58 = 394,100.02 : x
  2. Step 2: Convert to fraction form
    619,408.86/929,002.58 = 394,100.02/x
  3. Step 3: Cross multiply
    619,408.86x = 929,002.58 × 394,100.02
  4. Step 4: Simplify right side
    619,408.86x = 366,119,935,358.05
  5. Step 5: Solve for x
    x = 366,119,935,358.05/619,408.86
  6. Step 6: Final answer
    x = 591,079.59

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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.