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Finding the Fourth Proportional to 419,607.34, 579,050.82 and 228,622.12

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Solution

The fourth proportional to 419,607.34, 579,050.82 and 228,622.12 is: 315,494.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,607.34 : 579,050.82 = 228,622.12 : x
  2. Step 2: Convert to fraction form
    419,607.34/579,050.82 = 228,622.12/x
  3. Step 3: Cross multiply
    419,607.34x = 579,050.82 × 228,622.12
  4. Step 4: Simplify right side
    419,607.34x = 132,383,826,056.14
  5. Step 5: Solve for x
    x = 132,383,826,056.14/419,607.34
  6. Step 6: Final answer
    x = 315,494.54

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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.