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Finding the Fourth Proportional to 297,776.80, 446,535.87 and 108,174.16

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Solution

The fourth proportional to 297,776.80, 446,535.87 and 108,174.16 is: 162,214.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,776.80 : 446,535.87 = 108,174.16 : x
  2. Step 2: Convert to fraction form
    297,776.80/446,535.87 = 108,174.16/x
  3. Step 3: Cross multiply
    297,776.80x = 446,535.87 × 108,174.16
  4. Step 4: Simplify right side
    297,776.80x = 48,303,642,647.12
  5. Step 5: Solve for x
    x = 48,303,642,647.12/297,776.80
  6. Step 6: Final answer
    x = 162,214.26

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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.