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Finding the Fourth Proportional to 402,265.88, 603,653.37 and 224,889.25

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Solution

The fourth proportional to 402,265.88, 603,653.37 and 224,889.25 is: 337,476.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,265.88 : 603,653.37 = 224,889.25 : x
  2. Step 2: Convert to fraction form
    402,265.88/603,653.37 = 224,889.25/x
  3. Step 3: Cross multiply
    402,265.88x = 603,653.37 × 224,889.25
  4. Step 4: Simplify right side
    402,265.88x = 135,755,149,496.56
  5. Step 5: Solve for x
    x = 135,755,149,496.56/402,265.88
  6. Step 6: Final answer
    x = 337,476.17

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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.