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Finding the Fourth Proportional to 301,012.24, 415,390.80 and 166,876.24

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Solution

The fourth proportional to 301,012.24, 415,390.80 and 166,876.24 is: 230,285.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,012.24 : 415,390.80 = 166,876.24 : x
  2. Step 2: Convert to fraction form
    301,012.24/415,390.80 = 166,876.24/x
  3. Step 3: Cross multiply
    301,012.24x = 415,390.80 × 166,876.24
  4. Step 4: Simplify right side
    301,012.24x = 69,318,854,834.59
  5. Step 5: Solve for x
    x = 69,318,854,834.59/301,012.24
  6. Step 6: Final answer
    x = 230,285.83

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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.