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Finding the Fourth Proportional to 343,910.46, 515,968.17 and 164,130.84

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Solution

The fourth proportional to 343,910.46, 515,968.17 and 164,130.84 is: 246,245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,910.46 : 515,968.17 = 164,130.84 : x
  2. Step 2: Convert to fraction form
    343,910.46/515,968.17 = 164,130.84/x
  3. Step 3: Cross multiply
    343,910.46x = 515,968.17 × 164,130.84
  4. Step 4: Simplify right side
    343,910.46x = 84,686,289,155.36
  5. Step 5: Solve for x
    x = 84,686,289,155.36/343,910.46
  6. Step 6: Final answer
    x = 246,245.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.