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Finding the Fourth Proportional to 294,943.50, 442,416.90 and 73,327.50

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Solution

The fourth proportional to 294,943.50, 442,416.90 and 73,327.50 is: 109,991.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,943.50 : 442,416.90 = 73,327.50 : x
  2. Step 2: Convert to fraction form
    294,943.50/442,416.90 = 73,327.50/x
  3. Step 3: Cross multiply
    294,943.50x = 442,416.90 × 73,327.50
  4. Step 4: Simplify right side
    294,943.50x = 32,441,325,234.75
  5. Step 5: Solve for x
    x = 32,441,325,234.75/294,943.50
  6. Step 6: Final answer
    x = 109,991.66

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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.