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Finding the Fourth Proportional to 504,175.80, 706,371 and 504,175.80

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Solution

The fourth proportional to 504,175.80, 706,371 and 504,175.80 is: 706,371

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,175.80 : 706,371 = 504,175.80 : x
  2. Step 2: Convert to fraction form
    504,175.80/706,371 = 504,175.80/x
  3. Step 3: Cross multiply
    504,175.80x = 706,371 × 504,175.80
  4. Step 4: Simplify right side
    504,175.80x = 356,135,164,021.80
  5. Step 5: Solve for x
    x = 356,135,164,021.80/504,175.80
  6. Step 6: Final answer
    x = 706,371

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.