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Finding the Fourth Proportional to 294,829.80, 442,244.70 and 73,213.80

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Solution

The fourth proportional to 294,829.80, 442,244.70 and 73,213.80 is: 109,820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,829.80 : 442,244.70 = 73,213.80 : x
  2. Step 2: Convert to fraction form
    294,829.80/442,244.70 = 73,213.80/x
  3. Step 3: Cross multiply
    294,829.80x = 442,244.70 × 73,213.80
  4. Step 4: Simplify right side
    294,829.80x = 32,378,415,016.86
  5. Step 5: Solve for x
    x = 32,378,415,016.86/294,829.80
  6. Step 6: Final answer
    x = 109,820.70

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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.