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Finding the Fourth Proportional to 493,846.56, 681,509.70 and 267,492.06

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Solution

The fourth proportional to 493,846.56, 681,509.70 and 267,492.06 is: 369,139.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,846.56 : 681,509.70 = 267,492.06 : x
  2. Step 2: Convert to fraction form
    493,846.56/681,509.70 = 267,492.06/x
  3. Step 3: Cross multiply
    493,846.56x = 681,509.70 × 267,492.06
  4. Step 4: Simplify right side
    493,846.56x = 182,298,433,562.98
  5. Step 5: Solve for x
    x = 182,298,433,562.98/493,846.56
  6. Step 6: Final answer
    x = 369,139.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.