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Finding the Fourth Proportional to 683,765, 943,593.36 and 377,832.86

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Solution

The fourth proportional to 683,765, 943,593.36 and 377,832.86 is: 521,408.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,765 : 943,593.36 = 377,832.86 : x
  2. Step 2: Convert to fraction form
    683,765/943,593.36 = 377,832.86/x
  3. Step 3: Cross multiply
    683,765x = 943,593.36 × 377,832.86
  4. Step 4: Simplify right side
    683,765x = 356,520,577,885.81
  5. Step 5: Solve for x
    x = 356,520,577,885.81/683,765
  6. Step 6: Final answer
    x = 521,408.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.