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Finding the Fourth Proportional to 493,977.72, 681,688.62 and 267,624.12

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Solution

The fourth proportional to 493,977.72, 681,688.62 and 267,624.12 is: 369,320.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,977.72 : 681,688.62 = 267,624.12 : x
  2. Step 2: Convert to fraction form
    493,977.72/681,688.62 = 267,624.12/x
  3. Step 3: Cross multiply
    493,977.72x = 681,688.62 × 267,624.12
  4. Step 4: Simplify right side
    493,977.72x = 182,436,317,041.51
  5. Step 5: Solve for x
    x = 182,436,317,041.51/493,977.72
  6. Step 6: Final answer
    x = 369,320.94

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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.