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Finding the Fourth Proportional to 297,833.50, 446,753.49 and 76,217.50

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Solution

The fourth proportional to 297,833.50, 446,753.49 and 76,217.50 is: 114,327.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,833.50 : 446,753.49 = 76,217.50 : x
  2. Step 2: Convert to fraction form
    297,833.50/446,753.49 = 76,217.50/x
  3. Step 3: Cross multiply
    297,833.50x = 446,753.49 × 76,217.50
  4. Step 4: Simplify right side
    297,833.50x = 34,050,434,124.08
  5. Step 5: Solve for x
    x = 34,050,434,124.08/297,833.50
  6. Step 6: Final answer
    x = 114,327.08

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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.