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Finding the Fourth Proportional to 497,137.64, 745,629.50 and 272,608.88

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Solution

The fourth proportional to 497,137.64, 745,629.50 and 272,608.88 is: 408,871.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,137.64 : 745,629.50 = 272,608.88 : x
  2. Step 2: Convert to fraction form
    497,137.64/745,629.50 = 272,608.88/x
  3. Step 3: Cross multiply
    497,137.64x = 745,629.50 × 272,608.88
  4. Step 4: Simplify right side
    497,137.64x = 203,265,222,889.96
  5. Step 5: Solve for x
    x = 203,265,222,889.96/497,137.64
  6. Step 6: Final answer
    x = 408,871.12

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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.