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Finding the Fourth Proportional to 531,978.56, 797,959.20 and 251,696.96

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Solution

The fourth proportional to 531,978.56, 797,959.20 and 251,696.96 is: 377,541.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,978.56 : 797,959.20 = 251,696.96 : x
  2. Step 2: Convert to fraction form
    531,978.56/797,959.20 = 251,696.96/x
  3. Step 3: Cross multiply
    531,978.56x = 797,959.20 × 251,696.96
  4. Step 4: Simplify right side
    531,978.56x = 200,843,904,844.03
  5. Step 5: Solve for x
    x = 200,843,904,844.03/531,978.56
  6. Step 6: Final answer
    x = 377,541.35

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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.