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Finding the Fourth Proportional to 343,885.14, 515,592.43 and 175,078.82

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Solution

The fourth proportional to 343,885.14, 515,592.43 and 175,078.82 is: 262,498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,885.14 : 515,592.43 = 175,078.82 : x
  2. Step 2: Convert to fraction form
    343,885.14/515,592.43 = 175,078.82/x
  3. Step 3: Cross multiply
    343,885.14x = 515,592.43 × 175,078.82
  4. Step 4: Simplify right side
    343,885.14x = 90,269,314,245.33
  5. Step 5: Solve for x
    x = 90,269,314,245.33/343,885.14
  6. Step 6: Final answer
    x = 262,498.44

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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.