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Finding the Fourth Proportional to 457,242.22, 686,288.86 and 232,770.70

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Solution

The fourth proportional to 457,242.22, 686,288.86 and 232,770.70 is: 349,372.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,242.22 : 686,288.86 = 232,770.70 : x
  2. Step 2: Convert to fraction form
    457,242.22/686,288.86 = 232,770.70/x
  3. Step 3: Cross multiply
    457,242.22x = 686,288.86 × 232,770.70
  4. Step 4: Simplify right side
    457,242.22x = 159,747,938,344.40
  5. Step 5: Solve for x
    x = 159,747,938,344.40/457,242.22
  6. Step 6: Final answer
    x = 349,372.68

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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.