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Finding the Fourth Proportional to 477,311.91, 658,692.87 and 262,465.89

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Solution

The fourth proportional to 477,311.91, 658,692.87 and 262,465.89 is: 362,204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,311.91 : 658,692.87 = 262,465.89 : x
  2. Step 2: Convert to fraction form
    477,311.91/658,692.87 = 262,465.89/x
  3. Step 3: Cross multiply
    477,311.91x = 658,692.87 × 262,465.89
  4. Step 4: Simplify right side
    477,311.91x = 172,884,410,361.20
  5. Step 5: Solve for x
    x = 172,884,410,361.20/477,311.91
  6. Step 6: Final answer
    x = 362,204.27

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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.