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Finding the Fourth Proportional to 531,274.25, 797,146.94 and 278,494.41

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Solution

The fourth proportional to 531,274.25, 797,146.94 and 278,494.41 is: 417,865.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,274.25 : 797,146.94 = 278,494.41 : x
  2. Step 2: Convert to fraction form
    531,274.25/797,146.94 = 278,494.41/x
  3. Step 3: Cross multiply
    531,274.25x = 797,146.94 × 278,494.41
  4. Step 4: Simplify right side
    531,274.25x = 222,000,968,893.55
  5. Step 5: Solve for x
    x = 222,000,968,893.55/531,274.25
  6. Step 6: Final answer
    x = 417,865.10

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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.