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Finding the Fourth Proportional to 294,805.80, 442,208.67 and 73,189.80

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Solution

The fourth proportional to 294,805.80, 442,208.67 and 73,189.80 is: 109,784.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,805.80 : 442,208.67 = 73,189.80 : x
  2. Step 2: Convert to fraction form
    294,805.80/442,208.67 = 73,189.80/x
  3. Step 3: Cross multiply
    294,805.80x = 442,208.67 × 73,189.80
  4. Step 4: Simplify right side
    294,805.80x = 32,365,164,115.57
  5. Step 5: Solve for x
    x = 32,365,164,115.57/294,805.80
  6. Step 6: Final answer
    x = 109,784.69

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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.