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Finding the Fourth Proportional to 499,415.64, 749,227.14 and 166,983

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Solution

The fourth proportional to 499,415.64, 749,227.14 and 166,983 is: 250,509.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,415.64 : 749,227.14 = 166,983 : x
  2. Step 2: Convert to fraction form
    499,415.64/749,227.14 = 166,983/x
  3. Step 3: Cross multiply
    499,415.64x = 749,227.14 × 166,983
  4. Step 4: Simplify right side
    499,415.64x = 125,108,195,518.62
  5. Step 5: Solve for x
    x = 125,108,195,518.62/499,415.64
  6. Step 6: Final answer
    x = 250,509.17

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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.