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Finding the Fourth Proportional to 463,204.70, 639,076.77 and 259,223.21

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Solution

The fourth proportional to 463,204.70, 639,076.77 and 259,223.21 is: 357,646.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,204.70 : 639,076.77 = 259,223.21 : x
  2. Step 2: Convert to fraction form
    463,204.70/639,076.77 = 259,223.21/x
  3. Step 3: Cross multiply
    463,204.70x = 639,076.77 × 259,223.21
  4. Step 4: Simplify right side
    463,204.70x = 165,663,528,560.45
  5. Step 5: Solve for x
    x = 165,663,528,560.45/463,204.70
  6. Step 6: Final answer
    x = 357,646.48

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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.