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Finding the Fourth Proportional to 619,416.42, 928,497.12 and 419,757

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Solution

The fourth proportional to 619,416.42, 928,497.12 and 419,757 is: 629,210.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,416.42 : 928,497.12 = 419,757 : x
  2. Step 2: Convert to fraction form
    619,416.42/928,497.12 = 419,757/x
  3. Step 3: Cross multiply
    619,416.42x = 928,497.12 × 419,757
  4. Step 4: Simplify right side
    619,416.42x = 389,743,165,599.84
  5. Step 5: Solve for x
    x = 389,743,165,599.84/619,416.42
  6. Step 6: Final answer
    x = 629,210.26

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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.