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Finding the Fourth Proportional to 457,241.82, 686,288.29 and 232,770.30

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Solution

The fourth proportional to 457,241.82, 686,288.29 and 232,770.30 is: 349,372.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,241.82 : 686,288.29 = 232,770.30 : x
  2. Step 2: Convert to fraction form
    457,241.82/686,288.29 = 232,770.30/x
  3. Step 3: Cross multiply
    457,241.82x = 686,288.29 × 232,770.30
  4. Step 4: Simplify right side
    457,241.82x = 159,747,531,149.79
  5. Step 5: Solve for x
    x = 159,747,531,149.79/457,241.82
  6. Step 6: Final answer
    x = 349,372.09

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1.5x scale

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.