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Finding the Fourth Proportional to 294,934.56, 442,401.72 and 73,318.56

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Solution

The fourth proportional to 294,934.56, 442,401.72 and 73,318.56 is: 109,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,934.56 : 442,401.72 = 73,318.56 : x
  2. Step 2: Convert to fraction form
    294,934.56/442,401.72 = 73,318.56/x
  3. Step 3: Cross multiply
    294,934.56x = 442,401.72 × 73,318.56
  4. Step 4: Simplify right side
    294,934.56x = 32,436,257,051.92
  5. Step 5: Solve for x
    x = 32,436,257,051.92/294,934.56
  6. Step 6: Final answer
    x = 109,977.81

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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.