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Finding the Fourth Proportional to 300,814.24, 415,140.24 and 166,675.36

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Solution

The fourth proportional to 300,814.24, 415,140.24 and 166,675.36 is: 230,021.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,814.24 : 415,140.24 = 166,675.36 : x
  2. Step 2: Convert to fraction form
    300,814.24/415,140.24 = 166,675.36/x
  3. Step 3: Cross multiply
    300,814.24x = 415,140.24 × 166,675.36
  4. Step 4: Simplify right side
    300,814.24x = 69,193,648,952.49
  5. Step 5: Solve for x
    x = 69,193,648,952.49/300,814.24
  6. Step 6: Final answer
    x = 230,021.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.