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Finding the Fourth Proportional to 294,788.56, 442,182.84 and 73,172.56

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Solution

The fourth proportional to 294,788.56, 442,182.84 and 73,172.56 is: 109,758.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,788.56 : 442,182.84 = 73,172.56 : x
  2. Step 2: Convert to fraction form
    294,788.56/442,182.84 = 73,172.56/x
  3. Step 3: Cross multiply
    294,788.56x = 442,182.84 × 73,172.56
  4. Step 4: Simplify right side
    294,788.56x = 32,355,650,390.87
  5. Step 5: Solve for x
    x = 32,355,650,390.87/294,788.56
  6. Step 6: Final answer
    x = 109,758.84

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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.