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Finding the Fourth Proportional to 354,048.75, 531,072.61 and 164,405.41

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Solution

The fourth proportional to 354,048.75, 531,072.61 and 164,405.41 is: 246,607.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,048.75 : 531,072.61 = 164,405.41 : x
  2. Step 2: Convert to fraction form
    354,048.75/531,072.61 = 164,405.41/x
  3. Step 3: Cross multiply
    354,048.75x = 531,072.61 × 164,405.41
  4. Step 4: Simplify right side
    354,048.75x = 87,311,210,186.82
  5. Step 5: Solve for x
    x = 87,311,210,186.82/354,048.75
  6. Step 6: Final answer
    x = 246,607.88

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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.