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Finding the Fourth Proportional to 628,114.50, 941,814.82 and 428,676.49

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Solution

The fourth proportional to 628,114.50, 941,814.82 and 428,676.49 is: 642,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,114.50 : 941,814.82 = 428,676.49 : x
  2. Step 2: Convert to fraction form
    628,114.50/941,814.82 = 428,676.49/x
  3. Step 3: Cross multiply
    628,114.50x = 941,814.82 × 428,676.49
  4. Step 4: Simplify right side
    628,114.50x = 403,733,871,267.58
  5. Step 5: Solve for x
    x = 403,733,871,267.58/628,114.50
  6. Step 6: Final answer
    x = 642,771.14

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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.