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Finding the Fourth Proportional to 297,895.80, 446,703.30 and 108,222.40

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Solution

The fourth proportional to 297,895.80, 446,703.30 and 108,222.40 is: 162,282.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,895.80 : 446,703.30 = 108,222.40 : x
  2. Step 2: Convert to fraction form
    297,895.80/446,703.30 = 108,222.40/x
  3. Step 3: Cross multiply
    297,895.80x = 446,703.30 × 108,222.40
  4. Step 4: Simplify right side
    297,895.80x = 48,343,303,213.92
  5. Step 5: Solve for x
    x = 48,343,303,213.92/297,895.80
  6. Step 6: Final answer
    x = 162,282.59

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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.