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Finding the Fourth Proportional to 349,264.77, 523,671.80 and 166,796.81

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Solution

The fourth proportional to 349,264.77, 523,671.80 and 166,796.81 is: 250,087.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,264.77 : 523,671.80 = 166,796.81 : x
  2. Step 2: Convert to fraction form
    349,264.77/523,671.80 = 166,796.81/x
  3. Step 3: Cross multiply
    349,264.77x = 523,671.80 × 166,796.81
  4. Step 4: Simplify right side
    349,264.77x = 87,346,784,892.97
  5. Step 5: Solve for x
    x = 87,346,784,892.97/349,264.77
  6. Step 6: Final answer
    x = 250,087.59

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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.