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Finding the Fourth Proportional to 301,301.37, 415,794.73 and 165,337.59

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Solution

The fourth proportional to 301,301.37, 415,794.73 and 165,337.59 is: 228,165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,301.37 : 415,794.73 = 165,337.59 : x
  2. Step 2: Convert to fraction form
    301,301.37/415,794.73 = 165,337.59/x
  3. Step 3: Cross multiply
    301,301.37x = 415,794.73 × 165,337.59
  4. Step 4: Simplify right side
    301,301.37x = 68,746,496,513.93
  5. Step 5: Solve for x
    x = 68,746,496,513.93/301,301.37
  6. Step 6: Final answer
    x = 228,165.23

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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.