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Finding the Fourth Proportional to 301,025.80, 415,434.24 and 166,889.80

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Solution

The fourth proportional to 301,025.80, 415,434.24 and 166,889.80 is: 230,318.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,025.80 : 415,434.24 = 166,889.80 : x
  2. Step 2: Convert to fraction form
    301,025.80/415,434.24 = 166,889.80/x
  3. Step 3: Cross multiply
    301,025.80x = 415,434.24 × 166,889.80
  4. Step 4: Simplify right side
    301,025.80x = 69,331,737,226.75
  5. Step 5: Solve for x
    x = 69,331,737,226.75/301,025.80
  6. Step 6: Final answer
    x = 230,318.26

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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.