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Finding the Fourth Proportional to 476,821.38, 657,474.93 and 347,531.34

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Solution

The fourth proportional to 476,821.38, 657,474.93 and 347,531.34 is: 479,200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,821.38 : 657,474.93 = 347,531.34 : x
  2. Step 2: Convert to fraction form
    476,821.38/657,474.93 = 347,531.34/x
  3. Step 3: Cross multiply
    476,821.38x = 657,474.93 × 347,531.34
  4. Step 4: Simplify right side
    476,821.38x = 228,493,143,439.31
  5. Step 5: Solve for x
    x = 228,493,143,439.31/476,821.38
  6. Step 6: Final answer
    x = 479,200.71

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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.