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Finding the Fourth Proportional to 552,801.20, 829,201.80 and 178,824.20

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Solution

The fourth proportional to 552,801.20, 829,201.80 and 178,824.20 is: 268,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,801.20 : 829,201.80 = 178,824.20 : x
  2. Step 2: Convert to fraction form
    552,801.20/829,201.80 = 178,824.20/x
  3. Step 3: Cross multiply
    552,801.20x = 829,201.80 × 178,824.20
  4. Step 4: Simplify right side
    552,801.20x = 148,281,348,523.56
  5. Step 5: Solve for x
    x = 148,281,348,523.56/552,801.20
  6. Step 6: Final answer
    x = 268,236.30

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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.