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Finding the Fourth Proportional to 687,914, 949,408.86 and 415,983.86

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Solution

The fourth proportional to 687,914, 949,408.86 and 415,983.86 is: 574,110.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,914 : 949,408.86 = 415,983.86 : x
  2. Step 2: Convert to fraction form
    687,914/949,408.86 = 415,983.86/x
  3. Step 3: Cross multiply
    687,914x = 949,408.86 × 415,983.86
  4. Step 4: Simplify right side
    687,914x = 394,938,762,301.00
  5. Step 5: Solve for x
    x = 394,938,762,301.00/687,914
  6. Step 6: Final answer
    x = 574,110.66

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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.