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Finding the Fourth Proportional to 297,477.65, 446,393.76 and 107,952.80

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Solution

The fourth proportional to 297,477.65, 446,393.76 and 107,952.80 is: 161,993.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,477.65 : 446,393.76 = 107,952.80 : x
  2. Step 2: Convert to fraction form
    297,477.65/446,393.76 = 107,952.80/x
  3. Step 3: Cross multiply
    297,477.65x = 446,393.76 × 107,952.80
  4. Step 4: Simplify right side
    297,477.65x = 48,189,455,754.76
  5. Step 5: Solve for x
    x = 48,189,455,754.76/297,477.65
  6. Step 6: Final answer
    x = 161,993.54

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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.