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Finding the Fourth Proportional to 294,939.20, 442,408.80 and 73,323.20

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Solution

The fourth proportional to 294,939.20, 442,408.80 and 73,323.20 is: 109,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,939.20 : 442,408.80 = 73,323.20 : x
  2. Step 2: Convert to fraction form
    294,939.20/442,408.80 = 73,323.20/x
  3. Step 3: Cross multiply
    294,939.20x = 442,408.80 × 73,323.20
  4. Step 4: Simplify right side
    294,939.20x = 32,438,828,924.16
  5. Step 5: Solve for x
    x = 32,438,828,924.16/294,939.20
  6. Step 6: Final answer
    x = 109,984.80

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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.