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Finding the Fourth Proportional to 577,016.70, 864,997.74 and 257,000.28

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Solution

The fourth proportional to 577,016.70, 864,997.74 and 257,000.28 is: 385,265.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,016.70 : 864,997.74 = 257,000.28 : x
  2. Step 2: Convert to fraction form
    577,016.70/864,997.74 = 257,000.28/x
  3. Step 3: Cross multiply
    577,016.70x = 864,997.74 × 257,000.28
  4. Step 4: Simplify right side
    577,016.70x = 222,304,661,379.37
  5. Step 5: Solve for x
    x = 222,304,661,379.37/577,016.70
  6. Step 6: Final answer
    x = 385,265.56

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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.